Deck 9: Statistical Inference: Hypothesis Testing for Single Populations
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Deck 9: Statistical Inference: Hypothesis Testing for Single Populations
1
Generally speaking, the hypotheses that business researchers want to prove are stated in the alternative hypothesis.
True
2
Consider the following null and alternative hypotheses. Ho: µ = 67
Ha: µ 67
These hypotheses ___.
A)indicate a one-tailed test with a rejection area in the right tail
B)indicate a one-tailed test with a rejection area in the left tail
C)indicate a two-tailed test
D)are established incorrectly
E)are not mutually exclusive
Ha: µ 67
These hypotheses ___.
A)indicate a one-tailed test with a rejection area in the right tail
B)indicate a one-tailed test with a rejection area in the left tail
C)indicate a two-tailed test
D)are established incorrectly
E)are not mutually exclusive
indicate a two-tailed test
3
Power is equal to (1 - ), the probability of a test rejecting the null hypothesis that is indeed false.
True
4
When a true null hypothesis is rejected, the researcher has made a Type I error.
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5
Consider the following null and alternative hypotheses. Ho: µ 67
Ha: µ < 67
These hypotheses ___.
A)indicate a one-tailed test with a rejection area in the right tail
B)indicate a one-tailed test with a rejection area in the left tail
C)indicate a two-tailed test
D)are established incorrectly
E)are not mutually exclusive
Ha: µ < 67
These hypotheses ___.
A)indicate a one-tailed test with a rejection area in the right tail
B)indicate a one-tailed test with a rejection area in the left tail
C)indicate a two-tailed test
D)are established incorrectly
E)are not mutually exclusive
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6
When a researcher fails to reject a false null hypothesis, a Type II error has been committed.
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7
When a false null hypothesis is rejected, the researcher has made a Type II error.
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8
The rejection region for a hypothesis test becomes smaller if the level of significance is changed from 0.01 to 0.05.
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9
The rejection and nonrejection regions are divided by a point called the critical value.
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10
The null and the alternative hypotheses must be mutually exclusive and collectively exhaustive.
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11
The first step in testing a hypothesis is to establish a true null hypothesis and a false alternative hypothesis.
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12
Hypotheses are tentative explanations of a principle operating in nature.
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13
In testing hypotheses, the researcher initially assumes that the alternative hypothesis is true and uses the sample data to reject it.
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14
If a null hypothesis was not rejected at the 0.10 level of significance, it will be rejected at a 0.05 level of significance based on the same sample results.
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15
Suppose the alternative hypothesis in a hypothesis test is: "the population mean is less than 60".If the sample size is 50 and alpha =.05, the critical value of z is ___.
A)1.645
B)-1.645
C)1.96
D)-1.96
E)2.05
A)1.645
B)-1.645
C)1.96
D)-1.96
E)2.05
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16
If the researcher computes the probability of the calculated statistic and compares it to alpha, the level of significance to reach a decision, the researcher is using the p-value method for testing the hypotheses.
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17
Whenever hypotheses are established such that the alternative hypothesis is ">", then this would be a two-tailed test.
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18
Consider the following null and alternative hypotheses: Ho: µ 67
Ha: µ > 67
These hypotheses ___.
A)indicate a one-tailed test with a rejection area in the right tail
B)indicate a one-tailed test with a rejection area in the left tail
C)indicate a two-tailed test
D)are established incorrectly
E)are not mutually exclusive
Ha: µ > 67
These hypotheses ___.
A)indicate a one-tailed test with a rejection area in the right tail
B)indicate a one-tailed test with a rejection area in the left tail
C)indicate a two-tailed test
D)are established incorrectly
E)are not mutually exclusive
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19
The probability of committing a Type I error is called the power of the test.
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20
Whenever hypotheses are established such that the alternative hypothesis is "not equal to", the hypothesis test would be a two-tailed test.
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21
In performing a hypothesis test where the null hypothesis is that the population mean is 4.8 against the alternative hypothesis that the population mean is not equal to 4.8, a random sample of 25 items is selected.The sample mean is 4.1 and the sample standard deviation is 1.4.It can be assumed that the population is normally distributed.The degrees of freedom associated with this are ___.
A)25
B)24
C)26
D)2
E)1
A)25
B)24
C)26
D)2
E)1
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22
In performing a hypothesis test where the null hypothesis is that the population mean is 23 against the alternative hypothesis that the population mean is not equal to 23, a random sample of 17 items is selected.The sample mean is 24.6 and the sample standard deviation is 3.3.It can be assumed that the population is normally distributed.The degrees of freedom associated with this are ___.
A)17
B)16
C)15
D)2
E)1
A)17
B)16
C)15
D)2
E)1
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23
A researcher is testing a hypothesis of a single mean.The critical z value for = .05 and a one-tailed test is 1.645.The observed z value from sample data is 1.13.The decision made by the researcher based on this information is to ___ the null hypothesis.
A)reject
B)not reject
C)redefine
D)change the alternate hypothesis into
E)restate
A)reject
B)not reject
C)redefine
D)change the alternate hypothesis into
E)restate
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24
In performing a hypothesis test where the null hypothesis is that the population mean is 4.8 against the alternative hypothesis that the population mean is not equal to 4.8, a random sample of 25 items is selected.The sample mean is 4.1 and the sample standard deviation is 1.4.It can be assumed that the population is normally distributed.The observed "t" value for this problem is ___.
A)-12.5
B)12.5
C)-2.5
D)-0.7
E)0.7
A)-12.5
B)12.5
C)-2.5
D)-0.7
E)0.7
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25
In a two-tailed hypothesis about a population mean with a sample size of 100 and α = 0.05, the rejection region would be ___.
A)z > 1.64
B)z > 1.96
C)z < -1.96 and z > 1.96
D)z < -1.64 and z > 1.64
E)z < -2.33 and z > 2.33
A)z > 1.64
B)z > 1.96
C)z < -1.96 and z > 1.96
D)z < -1.64 and z > 1.64
E)z < -2.33 and z > 2.33
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26
Suppose you are testing the null hypothesis that a population mean is greater than or equal to 60, against the alternative hypothesis that the population mean is less than 60.The sample size is 64 and = .05.If the sample mean is 58 and the population standard deviation is 16, the observed z value is ___.
A)-1
B)1
C)-8
D)8
E)58
A)-1
B)1
C)-8
D)8
E)58
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27
A researcher is testing a hypothesis of a single mean.The critical z value for = .05 and a two-tailed test is +1.96.The observed z value from sample data is 2.85.The decision made by the researcher based on this information is to ___ the null hypothesis.
A)reject
B)not reject
C)redefine
D)change the alternate hypothesis into
E)restate
A)reject
B)not reject
C)redefine
D)change the alternate hypothesis into
E)restate
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28
In performing a hypothesis test where the null hypothesis is that the population mean is 4.8 against the alternative hypothesis that the population mean is not equal to 4.8, a random sample of 25 items is selected.The sample mean is 4.1 and the sample standard deviation is 1.4.It can be assumed that the population is normally distributed.The level of significance is selected to be 0.10.The table "t" value for this problem is ___.
A)1.318
B)1.711
C)2.492
D)2.797
E)3.227
A)1.318
B)1.711
C)2.492
D)2.797
E)3.227
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29
A company produces an item that is supposed to have a six centimetre hole punched in the centre.A quality control inspector is concerned that the machine which punches the hole is "out-of-control" (hole is too large or too small).In an effort to test this, the inspector is going to gather a sample punched by the machine and measure the diameter of the hole.The alternative hypothesis used to statistical test to determine if the machine is out-of-control is
A)the mean diameter is > 6 centimetres.
B)the mean diameter is < 6 centimetres.
C)the mean diameter is = 6 centimetres.
D)the mean diameter is ≠ 6 centimetres.
E)the mean diameter is ≥ 6 centimetres.
A)the mean diameter is > 6 centimetres.
B)the mean diameter is < 6 centimetres.
C)the mean diameter is = 6 centimetres.
D)the mean diameter is ≠ 6 centimetres.
E)the mean diameter is ≥ 6 centimetres.
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30
The diameter of 3.5 centimetre discs is normally distributed.Periodically, quality control inspectors at Winnipeg Discs randomly select a sample of 16 discs.If the mean diameter of the discs is too large or too small the disc punch is shut down for adjustment; otherwise, the punching process continues.The last sample showed a mean and standard deviation of 3.49 and 0.08 centimetres, respectively.Using = 0.05, the critical "t" values are ___.
A)-2.120 and 2.120
B)-2.131 and 2.131
C)-1.753 and 1.753
D)-1.746 and 1.746
E)-2.567 and 2.567
A)-2.120 and 2.120
B)-2.131 and 2.131
C)-1.753 and 1.753
D)-1.746 and 1.746
E)-2.567 and 2.567
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31
In performing a hypothesis test where the null hypothesis is that the population mean is 6.9 against the alternative hypothesis that the population mean is not equal to 6.9, a random sample of 16 items is selected.The sample mean is 7.1 and the sample standard deviation is 2.4.It can be assumed that the population is normally distributed.The level of significance is selected as 0.05.The table "t" value for this problem is ___.
A)1.753
B)2.947
C)2.120
D)2.131
E)2.311
A)1.753
B)2.947
C)2.120
D)2.131
E)2.311
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32
Suppose you are testing the null hypothesis that a population mean is less than or equal to 80, against the alternative hypothesis that the population mean is greater than 80.The sample size is 49 and alpha =.05.If the sample mean is 84 and the population standard deviation is 14, the observed z value is ___.
A)2
B)-2
C)14
D)-14
E)49
A)2
B)-2
C)14
D)-14
E)49
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33
A researcher is testing a hypothesis of a single mean.The critical z value for = .05 and a two-tailed test is +1.96.The observed z value from sample data is -1.85.The decision made by the researcher based on this information is to ___ the null hypothesis.
A)reject
B)not reject
C)redefine
D)change the alternate hypothesis into
E)restate
A)reject
B)not reject
C)redefine
D)change the alternate hypothesis into
E)restate
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34
A researcher is testing a hypothesis of a single mean.The critical z value for = .05 and a two-tailed test is +1.96.The observed z value from sample data is -2.11.The decision made by the researcher based on this information is to ___ the null hypothesis.
A)reject
B)not reject
C)redefine
D)change the alternate hypothesis into
E)restate
A)reject
B)not reject
C)redefine
D)change the alternate hypothesis into
E)restate
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35
Suppose you are testing the null hypothesis that a population mean is less than or equal to 80, against the alternative hypothesis that the population mean is greater than 80.If the sample size is 49 and alpha = .10, the critical value of z is ___.
A)1.645
B)-1.645
C)1.28
D)-1.28
E)2.33
A)1.645
B)-1.645
C)1.28
D)-1.28
E)2.33
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36
Jennifer Cantu, VP of Customer Services at Tri-City Auto Insurance Inc., monitors the claims processing time of the claims division.Her standard includes "a mean processing time of 5 days or less." Each week, her staff checks for compliance by analyzing a random sample of 60 claims.Jennifer's null hypothesis is ___.
A) > 5
B) > 5
C)n = 60
D) < 5
E) ≤ 5
A) > 5
B) > 5
C)n = 60
D) < 5
E) ≤ 5
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37
In a two-tailed hypothesis about a population mean with a sample size of 100 and alpha = 0.10, the rejection region would be ___.
A)z > 1.64
B)z > 1.28
C)z < -1.28 and z > 1.28
D)z < -1.645 and z > 1.645
E)z < -2.33 and z > 2.33
A)z > 1.64
B)z > 1.28
C)z < -1.28 and z > 1.28
D)z < -1.645 and z > 1.645
E)z < -2.33 and z > 2.33
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38
In performing a hypothesis test where the null hypothesis is that the population mean is 6.9 against the alternative hypothesis that the population mean is not equal to 6.9, a random sample of 16 items is selected.The sample mean is 7.1 and the sample standard deviation is 2.4.It can be assumed that the population is normally distributed.The level of significance is selected as 0.05.The decision rule for this problem is to reject the null hypothesis if the observed "t" value is ___.
A)less than -2.131 or greater than 2.131
B)less than -1.761 or greater than 1.761
C)less than -1.753 or greater than 1.753
D)less than -2.120 or greater than 2.120
E)less than -3.120 or greater than 3.120
A)less than -2.131 or greater than 2.131
B)less than -1.761 or greater than 1.761
C)less than -1.753 or greater than 1.753
D)less than -2.120 or greater than 2.120
E)less than -3.120 or greater than 3.120
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39
Suppose the alternative hypothesis in a hypothesis test is "the population mean is greater than 60".If the sample size is 80 and alpha = .01, the critical value of z is ___.
A)2.575
B)-2.575
C)2.33
D)-2.33
E)2.45
A)2.575
B)-2.575
C)2.33
D)-2.33
E)2.45
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40
In performing a hypothesis test where the null hypothesis is that the population mean is 6.9 against the alternative hypothesis that the population mean is not equal to 6.9, a random sample of 16 items is selected.The sample mean is 7.1 and the sample standard deviation is 2.4.It can be assumed that the population is normally distributed.The observed "t" value for this problem is ___.
A)0.05
B)0.20
C)0.33
D)1.33
E)1.43
A)0.05
B)0.20
C)0.33
D)1.33
E)1.43
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41
The diameter of 3.5 centimetre discs is normally distributed.Periodically, quality control inspectors at Winnipeg Discs randomly select a sample of 16 discs.If the mean diameter of the discs is too large or too small the disc punch is shut down for adjustment; otherwise, the punching process continues.The last sample showed a mean and standard deviation of 3.55 and 0.08 centimetres, respectively.Using = 0.05, the appropriate decision is ___.
A)reject the null hypothesis and shut down the punch
B)reject the null hypothesis and do not shut down the punch
C)do not reject the null hypothesis and shut down the punch
D)do not reject the null hypothesis and do not shut down the punch
E)do nothing
A)reject the null hypothesis and shut down the punch
B)reject the null hypothesis and do not shut down the punch
C)do not reject the null hypothesis and shut down the punch
D)do not reject the null hypothesis and do not shut down the punch
E)do nothing
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42
Ophelia O'Brien, VP of Consumer Credit of Credit First Banks (CFB), monitors the default rate on personal loans at the CFB member banks.One of her standards is "no more than 5% of personal loans should be in default." On each Friday, the default rate is calculated for a sample of 500 personal loans.Last Friday's sample contained 30 defaulted loans.Using = 0.10, the observed z value is ___.
A)1.03
B)-1.03
C)0.046
D)-0.046
E)1.33
A)1.03
B)-1.03
C)0.046
D)-0.046
E)1.33
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43
The diameter of 3.5 centimetre discs is normally distributed.Periodically, quality control inspectors at Winnipeg Discs randomly select a sample of 16 discs.If the mean diameter of the discs is too large or too small the disc punch is shut down for adjustment; otherwise, the punching process continues.The null hypothesis is ___.
A)n 16
B)n = 16
C) = 3.5
D) 3.5
E) ≥ 3.5
A)n 16
B)n = 16
C) = 3.5
D) 3.5
E) ≥ 3.5
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44
Consider the following null and alternative hypotheses: Ho: p = 0.16
Ha: p 0.16
These hypotheses ___.
A)indicate a one-tailed test with a rejection area in the right tail
B)indicate a one-tailed test with a rejection area in the left tail
C)indicate a two-tailed test
D)are established incorrectly
E)are not mutually exclusive
Ha: p 0.16
These hypotheses ___.
A)indicate a one-tailed test with a rejection area in the right tail
B)indicate a one-tailed test with a rejection area in the left tail
C)indicate a two-tailed test
D)are established incorrectly
E)are not mutually exclusive
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45
Ophelia O'Brien, VP of Consumer Credit of Credit First Banks (CFB), monitors the default rate on personal loans at the CFB member banks.One of her standards is "no more than 5% of personal loans should be in default." On each Friday, the default rate is calculated for a sample of 500 personal loans.Last Friday's sample contained 30 defaulted loans.Ophelia's null hypothesis is ___.
A)p > 0.05
B)p ≤ 0.05
C)n = 30
D)n = 500
E)n = 0.05
A)p > 0.05
B)p ≤ 0.05
C)n = 30
D)n = 500
E)n = 0.05
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46
The executives of CareFree Insurance, Inc.feel that "a majority of our employees perceive a participatory management style at CareFree." A random sample of 200 CareFree employees is selected to test this hypothesis at the 0.05 level of significance.Eighty employees rate the management as participatory.The appropriate decision is ___.
A)do not reject the null hypothesis
B)reject the null hypothesis
C)reduce the sample size
D)increase the sample size
E)do nothing
A)do not reject the null hypothesis
B)reject the null hypothesis
C)reduce the sample size
D)increase the sample size
E)do nothing
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47
Ophelia O'Brien, VP of Consumer Credit of Credit First Banks (CFB), monitors the default rate on personal loans at the CFB member banks.One of her standards is "no more than 5% of personal loans should be in default." On each Friday, the default rate is calculated for a sample of 500 personal loans.Last Friday's sample contained 30 defaulted loans.Using = 0.10, the critical z value is ___.
A)1.645
B)-1.645
C)1.28
D)-1.28
E)2.28
A)1.645
B)-1.645
C)1.28
D)-1.28
E)2.28
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48
A company believes that it controls more than 30% of the total market share for one of its products.To prove this belief, a random sample of 144 purchases of this product is contacted.It is found that 50 of the 144 purchased this company's brand of the product.If a researcher wants to conduct a statistical test for this problem, the observed z value would be ___.
A)0.05
B)0.103
C)0.35
D)1.24
E)1.67
A)0.05
B)0.103
C)0.35
D)1.24
E)1.67
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49
In performing hypothesis tests about the population mean, the population standard deviation should be used if it is known.If it is not known, which of the following statistical test should be used?
A)z test of a population mean
B)t test of a population mean
C)z test of a population proportion
D) 2 test of a population variance
E)t test of a population proportion
A)z test of a population mean
B)t test of a population mean
C)z test of a population proportion
D) 2 test of a population variance
E)t test of a population proportion
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50
Consider the following null and alternative hypotheses: Ho: p 0.16
Ha: p < 0.16
These hypotheses ___.
A)indicate a one-tailed test with a rejection area in the right tail
B)indicate a one-tailed test with a rejection area in the left tail
C)indicate a two-tailed test
D)are established incorrectly
E)are not mutually exclusive
Ha: p < 0.16
These hypotheses ___.
A)indicate a one-tailed test with a rejection area in the right tail
B)indicate a one-tailed test with a rejection area in the left tail
C)indicate a two-tailed test
D)are established incorrectly
E)are not mutually exclusive
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51
Ophelia O'Brien, VP of Consumer Credit of Credit First Banks (CFB), monitors the default rate on personal loans at the CFB member banks.One of her standards is "no more than 5% of personal loans should be in default." On each Friday, the default rate is calculated for a sample of 500 personal loans.Last Friday's sample contained 38 defaulted loans.Using = 0.10, the appropriate decision is ___.
A)reduce the sample size
B)increase the sample size
C)reject the null hypothesis
D)do not reject the null hypothesis
E)do nothing
A)reduce the sample size
B)increase the sample size
C)reject the null hypothesis
D)do not reject the null hypothesis
E)do nothing
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52
Ophelia O'Brien, VP of Consumer Credit of Credit First Banks (CFB), monitors the default rate on personal loans at the CFB member banks.One of her standards is "no more than 5% of personal loans should be in default." On each Friday, the default rate is calculated for a sample of 500 personal loans.Last Friday's sample contained 30 defaulted loans.Using = 0.10, the appropriate decision is ___.
A)reduce the sample size
B)increase the sample size
C)reject the null hypothesis
D)do not reject the null hypothesis
E)do nothing
A)reduce the sample size
B)increase the sample size
C)reject the null hypothesis
D)do not reject the null hypothesis
E)do nothing
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53
In performing hypothesis tests about the population mean, the population standard deviation should be used if it is known.If it is not known, a t test can be used to test the mean if ___.
A)the sample size is at least thirty
B)the sample is random
C)the population mean is known
D)the population is normally distributed
E)the population is chi-square distributed
A)the sample size is at least thirty
B)the sample is random
C)the population mean is known
D)the population is normally distributed
E)the population is chi-square distributed
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54
The executives of CareFree Insurance Inc.feel that "a majority of our employees perceive a participatory management style at CareFree." A random sample of 200 CareFree employees is selected to test this hypothesis at the 0.05 level of significance.Eighty employees rate the management as participatory.The null hypothesis is ___.
A)n = 30
B)n = 200
C)p ≤ 0.50
D)p < 0.50
E)n > 200
A)n = 30
B)n = 200
C)p ≤ 0.50
D)p < 0.50
E)n > 200
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55
The diameter of 3.5 centimetre discs is normally distributed.Periodically, quality control inspectors at Winnipeg Discs randomly select a sample of 16 discs.If the mean diameter of the discs is too large or too small the disc punch is shut down for adjustment; otherwise, the punching process continues.The last sample showed a mean and standard deviation of 3.49 and 0.08 centimetres, respectively.Using = 0.05, the appropriate decision is ___.
A)reject the null hypothesis and shut down the punch
B)reject the null hypothesis and do not shut down the punch
C)do not reject the null hypothesis and shut down the punch
D)do not reject the null hypothesis and do not shut down the punch
E)do nothing
A)reject the null hypothesis and shut down the punch
B)reject the null hypothesis and do not shut down the punch
C)do not reject the null hypothesis and shut down the punch
D)do not reject the null hypothesis and do not shut down the punch
E)do nothing
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56
A political scientist wants to prove that a candidate is currently carrying more than 60% of the vote in the riding.She has her assistants randomly sample 200 eligible voters in the riding by telephone and only 90 declare that they support her candidate.The observed z value for this problem is ___.
A)-4.33
B)4.33
C)0.45
D)-.31
E)2.33
A)-4.33
B)4.33
C)0.45
D)-.31
E)2.33
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57
Consider the following null and alternative hypotheses: Ho: p 0.16
Ha: p > 0.16
These hypotheses ___.
A)indicate a one-tailed test with a rejection area in the right tail
B)indicate a one-tailed test with a rejection area in the left tail
C)indicate a two-tailed test
D)are established incorrectly
E)are not mutually exclusive
Ha: p > 0.16
These hypotheses ___.
A)indicate a one-tailed test with a rejection area in the right tail
B)indicate a one-tailed test with a rejection area in the left tail
C)indicate a two-tailed test
D)are established incorrectly
E)are not mutually exclusive
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58
Suppose a researcher is testing a null hypothesis that = 61.A random sample of n = 36 is taken resulting in a sample mean of 63 and s = 9.The observed t value is ___.
A)-0.22
B)0.22
C)1.33
D)8.08
E)7.58
A)-0.22
B)0.22
C)1.33
D)8.08
E)7.58
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59
A company believes that it controls more than 30% of the total market share for one of its products.To prove this belief, a random sample of 144 purchases of this product is contacted.It is found that 50 of the 144 purchased this company's brand of the product.If a researcher wants to conduct a statistical test for this problem, the alternative hypothesis would be ___.
A)the population proportion is less than 0.30
B)the population proportion is greater than 0.30
C)the population proportion is not equal to 0.30
D)the population mean is less than 40
E)the population mean is greater than 40
A)the population proportion is less than 0.30
B)the population proportion is greater than 0.30
C)the population proportion is not equal to 0.30
D)the population mean is less than 40
E)the population mean is greater than 40
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60
A company believes that it controls more than 30% of the total market share for one of its products.To prove this belief, a random sample of 144 purchases of this product is contacted.It is found that 50 of the 144 purchased this company's brand of the product.If a researcher wants to conduct a statistical test for this problem, the test would be ___.
A)a one-tailed test
B)a two-tailed test
C)an alpha test
D)a finite population test
E)a finite sample test
A)a one-tailed test
B)a two-tailed test
C)an alpha test
D)a finite population test
E)a finite sample test
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61
Discrete Components Inc.manufactures a line of electrical resistors.Presently, the carbon composition line is producing 100 ohm resistors.The population variance of these resistors "must not exceed 4" to conform to industry standards.Periodically, the quality control inspectors check for conformity by randomly select 10 resistors from the line, and calculating the sample variance.The last sample had a variance of 4.36.Assume that the population is normally distributed.Using = 0.05, the critical value of chi-square is ___.
A)18.31
B)16.92
C)3.94
D)3.33
E)19.82
A)18.31
B)16.92
C)3.94
D)3.33
E)19.82
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62
David Desreumaux, VP of Human Resources of Maritime Boat Manufacturing (MBM), is reviewing the employee training programs of MBM factories.Based on a recent census of personnel, David knows that the variance of worker training time in New Brunswick is 8, and he wonders if the variance in Nova Scotia is the same number.His staff randomly selected personnel files for 15 workers in Nova Scotia, and determined that their mean training time was 25 hours and that the standard deviation was 4 hours.Assume that worker training time is normally distributed in the population.Using = 0.10, the critical values of chi-square are ___.
A)7.96 and 26.30
B)6.57 and 23.68
C)-1.96 and 1.96
D)-1.645 and 1.645
E)-6.57 and 23.68
A)7.96 and 26.30
B)6.57 and 23.68
C)-1.96 and 1.96
D)-1.645 and 1.645
E)-6.57 and 23.68
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63
David Desreumaux, VP of Human Resources of Maritime Boat Manufacturing (MBM), is reviewing the employee training programs of MBM factories.Based on a recent census of personnel, David knows that the variance of worker training time in New Brunswick is 8, and he wonders if the variance in Nova Scotia is the same number.His staff randomly selected personnel files for 15 workers in Nova Scotia, and determined that their mean training time was 25 hours and that the standard deviation was 4 hours.Assume that worker training time is normally distributed in the population.Using = 0.10, the observed value of chi-square is ___.
A)28.00
B)30.00
C)56.00
D)60.00
E)65.00
A)28.00
B)30.00
C)56.00
D)60.00
E)65.00
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64
David Desreumaux, VP of Human Resources of Maritime Boat Manufacturing (MBM), is reviewing the employee training programs of MBM factories.Based on a recent census of personnel, David knows that the variance of worker training time in New Brunswick is 8, and he wonders if the variance in Nova Scotia is the same number.His staff randomly selected personnel files for 15 workers in Nova Scotia, and determined that their mean training time was 25 hours and that the standard deviation was 4 hours.Assume that worker training time is normally distributed in the population.Using = 0.10, the null hypothesis is ___.
A) = 25
B) 2 = 8
C) 2 = 4
D) 2 8
E)s2 = 16
A) = 25
B) 2 = 8
C) 2 = 4
D) 2 8
E)s2 = 16
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65
Elwin Osbourne, CIO at GFS, Inc., suspects that at least 25% of email messages sent by GFS employees are not business related.A random sample of 300 email messages was selected to test this hypothesis at the 0.01 level of significance.Fifty-four of the messages were not business related.The appropriate decision is __.
A)increase the sample size
B)gather more data
C)reject the null hypothesis
D)do not reject the null hypothesis
E)maintain status quo
A)increase the sample size
B)gather more data
C)reject the null hypothesis
D)do not reject the null hypothesis
E)maintain status quo
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66
Elwin Osbourne, CIO at GFS, Inc., suspects that at least 25% of email messages sent by GFS employees are not business related.A random sample of 300 email messages was selected to test this hypothesis at the 0.01 level of significance.Fifty-four of the messages were not business related.The null hypothesis is ____.
A) = 30
B)n = 300
C)p < 0.25
D)p ≠ 0.25
E)p ≥ 0.25
A) = 30
B)n = 300
C)p < 0.25
D)p ≠ 0.25
E)p ≥ 0.25
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67
Discrete Components Inc.manufactures a line of electrical resistors.Presently, the carbon composition line is producing 100 ohm resistors.The population variance of these resistors "must not exceed 4" to conform to industry standards.Periodically, the quality control inspectors check for conformity by randomly select 10 resistors from the line, and calculating the sample variance.The last sample had a variance of 4.36.Assume that the population is normally distributed.Using = 0.05, the appropriate decision is ___.
A)increase the sample size
B)reduce the sample size
C)reject the null hypothesis
D)do not reject the null hypothesis
E)maintain status quo
A)increase the sample size
B)reduce the sample size
C)reject the null hypothesis
D)do not reject the null hypothesis
E)maintain status quo
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k this deck
68
David Desreumaux, VP of Human Resources of Maritime Boat Manufacturing (MBM), is reviewing the employee training programs of MBM factories.Based on a recent census of personnel, David knows that the variance of worker training time in New Brunswick is 8, and he wonders if the variance in Nova Scotia is the same number.His staff randomly selected personnel files for 15 workers in Nova Scotia, and determined that their mean training time was 25 hours and that the standard deviation was 4 hours.Assume that worker training time is normally distributed in the population.Using = 0.10, the appropriate decision is ___.
A)increase the sample size
B)reduce the sample size
C)do not reject the null hypothesis
D)maintain status quo
E)reject the null hypothesis
A)increase the sample size
B)reduce the sample size
C)do not reject the null hypothesis
D)maintain status quo
E)reject the null hypothesis
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k this deck
69
Discrete Components Inc.manufactures a line of electrical resistors.Presently, the carbon composition line is producing 100 ohm resistors.The population variance of these resistors "must not exceed 4" to conform to industry standards.Periodically, the quality control inspectors check for conformity by randomly select 10 resistors from the line, and calculating the sample variance.The last sample had a variance of 4.36.Assume that the population is normally distributed.Using = 0.05, the observed value of chi-square is ___.
A)1.74
B)1.94
C)10.90
D)9.81
E)8.91
A)1.74
B)1.94
C)10.90
D)9.81
E)8.91
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70
A null hypothesis is p > 0.65.To test this hypothesis, a sample of 400 is taken and alpha is set at 0.05.If the true proportion is p = 0.60, what is the probability of a Type II error?
A)0.17
B)0.45
C)0.95
D)0.67
E)0.33
A)0.17
B)0.45
C)0.95
D)0.67
E)0.33
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71
Discrete Components Inc.manufactures a line of electrical resistors.Presently, the carbon composition line is producing 100 ohm resistors.The population variance of these resistors "must not exceed 4" to conform to industry standards.Periodically, the quality control inspectors check for conformity by randomly select 10 resistors from the line, and calculating the sample variance.The last sample had a variance of 4.36.Assume that the population is normally distributed.Using = 0.05, the null hypothesis is ___.
A) = 100
B) 10
C)s2 4
D) 2 ≤ 4
E)n = 100
A) = 100
B) 10
C)s2 4
D) 2 ≤ 4
E)n = 100
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72
The executives of CareFree Insurance, Inc.feel that "a majority of our employees perceive a participatory management style at CareFree." A random sample of 200 CareFree employees is selected to test this hypothesis at the 0.05 level of significance.Ninety employees rate the management as participatory.The appropriate decision is ___.
A)do not reject the null hypothesis
B)reject the null hypothesis
C)reduce the sample size
D)increase the sample size
E)maintain status quo
A)do not reject the null hypothesis
B)reject the null hypothesis
C)reduce the sample size
D)increase the sample size
E)maintain status quo
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73
Elwin Osbourne, CIO at GFS, Inc., suspects that at least 25% of email messages sent by GFS employees are not business related.A random sample of 300 email messages was selected to test this hypothesis at the 0.01 level of significance.Sixty of the messages were not business related.The appropriate decision is ___.
A)increase the sample size
B)gather more data
C)maintain status quo
D)do not reject the null hypothesis
E)reject the null hypothesis
A)increase the sample size
B)gather more data
C)maintain status quo
D)do not reject the null hypothesis
E)reject the null hypothesis
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