Deck 9: Inferences on Two Samples
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Deck 9: Inferences on Two Samples
1
A garden supplier claims that its new variety of giant tomato produces fruit with an mean weight of 45 ounces. A test is made of 
The null hypothesis
is rejected. State the appropriate conclusion.
A) There is not enough evidence to conclude that the mean weight differs from 45 ounces.
B) The mean weight is not equal to 45 ounces.
C) There is not enough evidence to conclude that the mean weight is 45 ounces.
D) The mean weight is equal to 45 ounces.

The null hypothesis
is rejected. State the appropriate conclusion.
A) There is not enough evidence to conclude that the mean weight differs from 45 ounces.
B) The mean weight is not equal to 45 ounces.
C) There is not enough evidence to conclude that the mean weight is 45 ounces.
D) The mean weight is equal to 45 ounces.
The mean weight is not equal to 45 ounces.
2
A fleet of rental cars - all the same make, model, and year - has a mean fuel efficiency of 25.6 miles per gallon (mpg). A random sample of 54 cars are selected and the air filter of each is replaced with a new one. Let
be the population mean fuel efficiency score that would occur if every car's air filter were replaced. The air filter change is deemed effective if 
A test is made of
Assume that the air filter changes are effective but the conclusion is reached that the chan might not be effective. Which type of error, of any, has occurred?
A) No error - correct decision
B) Type I
C) Mechanical failure
D) Type II


A test is made of

Assume that the air filter changes are effective but the conclusion is reached that the chan might not be effective. Which type of error, of any, has occurred?
A) No error - correct decision
B) Type I
C) Mechanical failure
D) Type II
Type II
3

C
4

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5
A garden supplier claims that its new variety of giant tomato produces fruit with an mean weight of 44 ounces. A test is made of 
The null hypothesis
is not rejected. State the appropriate conclusion.
A) There is not enough evidence to conclude that the mean weight differs from 44 ounces.
B) The mean weight is equal to 44 ounces.
C) There is not enough evidence to conclude that the mean weight is 44 ounces.
D) The mean weight is not equal to 44 ounces.

The null hypothesis
is not rejected. State the appropriate conclusion.
A) There is not enough evidence to conclude that the mean weight differs from 44 ounces.
B) The mean weight is equal to 44 ounces.
C) There is not enough evidence to conclude that the mean weight is 44 ounces.
D) The mean weight is not equal to 44 ounces.
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6
A sample of 75 chewable vitamin tablets have a sample mean of 251 milligrams ofvitamin C. ) 

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7
A new organic pest control formula is being tested on potato plants to see whether it can reduce the level of potato beetle infestation. The mean number of beetles per untreated plant is 5 . It is hoped that the new formula may reduce this infestation rate. State the appropriate null and alternate hypotheses.
A)
B).
C)
D)
A)

B).

C)

D)

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8
A fleet of rental cars - all the same make, model, and year - has a mean fuel efficiency of 24 miles per gallon (mpg). A random sample of 60 cars are selected and the air filter of each is replaced with a new one. Let
be the population mean fuel efficiency score that would occur if every car's air filter were replaced. The air filter change is deemed effective if
A test is made of 
Assume that the air filter changes are not effective. Which type of error is impossible?
A) Type I
B) Type II



Assume that the air filter changes are not effective. Which type of error is impossible?
A) Type I
B) Type II
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9
Determine whether the outcome is a Type I error, a Type II error, or a correct decision.
A test is made of
versus
The true value of
is 18 and 
not rejected.
A) Type II error
B) Type I error
C) Correct decision
A test is made of




not rejected.
A) Type II error
B) Type I error
C) Correct decision
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10
A test is made of 
The population standard deviation is
Compute the value of the test
statistic z and determine if
is rejected at the 
A)
B)
C)
D)



statistic z and determine if


A)

B)

C)

D)

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11
A test of
is performed using a significance level of
The value of the test statistic is
rejected?
A) Yes
B) No
C) It cannot be determined.



A) Yes
B) No
C) It cannot be determined.
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12
A test is made of 
A sample of size n=72 is drawn, and
The population standard deviation is
Compute the value of the test statistic z .
A) 0.04
B) 1.63
C) 0.62
D) 0.31

A sample of size n=72 is drawn, and


A) 0.04
B) 1.63
C) 0.62
D) 0.31
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13
Determine whether the outcome is a Type I error, a Type II error, or a correct decision. A test is made of
versus
The true value of
is 5 and
is rejected.
A) Type I error
B) Correct decision
C) Type II error




A) Type I error
B) Correct decision
C) Type II error
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14
A test is made of 
A sample of size n=68 is drawn, and
The population standard deviation is
Compute the value of the test statistic z .
A) -1.84
B) -0.05
C) -0.41
D) 0.34

A sample of size n=68 is drawn, and


A) -1.84
B) -0.05
C) -0.41
D) 0.34
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15
A fleet of rental cars - all the same make, model, and year - has a mean fuel efficiency of 27 miles per gallon (mpg). A random sample of 54 cars are selected and the air filter of each is replaced with a new one. Let
be the population mean fuel efficiency score that would occur if every car's air filter were replaced. The air filter change is deemed effective if
A test is made of
versus 
Consider these possible conclusions:
i). The air filter changes are effective.
ii). The air filter changes are not effective.
iii). The air filter changes might not be effective.
Which of the three conclusions is best if
is not rejected?
A) ii
B) i
C) iii




Consider these possible conclusions:
i). The air filter changes are effective.
ii). The air filter changes are not effective.
iii). The air filter changes might not be effective.
Which of the three conclusions is best if

A) ii
B) i
C) iii
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16
A fleet of rental cars - all the same make, model, and year - has a mean fuel efficiency of 27 miles per gallon (mpg). A random sample of 43 cars are selected and the air filter of each is replaced with a new one. Let
be the population mean fuel efficiency score that would occur if every car's air filter were replaced. The air filter change is deemed effective if
A test is made of 
Assume that the air filter changes are effective. Which type of error is impossible?
A) Type II
B) Type I



Assume that the air filter changes are effective. Which type of error is impossible?
A) Type II
B) Type I
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17
A test is made of
A sample of size n=66 is drawn, and
The population standard deviation is
Compute the value of the test statistic z and determine if
is rejected at the
level.
A)
B)
C)
D)





A)

B)

C)

D)

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18
Determine whether the alternative hypothesis is left-tailed, right-tailed, or two-tailed. 
A)left-tailed
B)right-tailed
C)two-tailed

A)left-tailed
B)right-tailed
C)two-tailed
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19
A sample of 50 chewable vitamin tablets have a sample mean of 258 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the evidence is that the mean mass of vitamin C per tablet exceeds 260 milligrams. State the appropriate null and alternate hypotheses.
A)
B)
C)
D)
A)

B)

C)

D)

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20
A fleet of rental cars - all the same make, model, and year - has a mean fuel efficiency of 24.7 miles per gallon (mpg). A random sample of 54 cars are selected and the air filter of each is replaced with a new one. Let
be the population mean fuel efficiency score that would occur if every car's air filter were replaced. The air filter change is deemed effective if https://storage.examlex.com/TB34225555/
. A test is made of
versus 
Consider these possible conclusions:
i). The air filter changes are effective.
ii). The air filter changes are not effective.
iii). The air filter changes might not be successful.
Which of the three conclusions is best if
is rejected?
A) iii
B) ii
C) i




Consider these possible conclusions:
i). The air filter changes are effective.
ii). The air filter changes are not effective.
iii). The air filter changes might not be successful.
Which of the three conclusions is best if

A) iii
B) ii
C) i
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21
A test of
is performed using a significance level of
The value of the test statistic is z=-2.19 .
If the true value of
is 44 , does the conclusion result in a Type I error, a Type II error, or correct decision?
A) Type II error
B) Type I error
C) Correct decision


If the true value of

A) Type II error
B) Type I error
C) Correct decision
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22
If P=0.026 , which of the following is the best conclusion?
A) If
is true, the probability of obtaining a test statistic as extreme as or more extreme than the one actually observed is 0.026 .
B) The probability that
is false is 0.026 .
C) The probability that
is true is 0.026 .
D) If
is false, the probability of obtaining a test statistic as extreme as or more extreme than the one actually observed is 0.026 .
A) If

B) The probability that

C) The probability that

D) If

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23
A test of
is performed using a significance level of
The P -value is 0.062 .
If the true value of
is 60 , does the conclusion result in a Type I error, a Type II error, or correct decision?
A) Type I error
B) Correct decision
C) Type II error


If the true value of

A) Type I error
B) Correct decision
C) Type II error
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24

The following display from a TI-84 Plus calculator presents the results of a hypothesis test. What is the value of the test statistic?
A)38.80
B)0.051470
C)1.947543
D)37
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25
A test of
is performed using a significance level of
The P -value is 0.174 .
If the true value of
is 56 , does the conclusion result in a Type I error, a Type II error, or correct decision?
A) Type I error
B) Correct decision
C) Type II error


If the true value of

A) Type I error
B) Correct decision
C) Type II error
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26
A test of
is performed using a significance level of
The P -value is 0.028 .
If the true value of
is 41 , does the conclusion result in a Type I error, a Type II error, or correct decision?
A) Correct decision
B) Type II error
C) Type I error


If the true value of

A) Correct decision
B) Type II error
C) Type I error
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27
A test of
is performed using a significance level of
The value of the test statistic is z=-2.71 . Is
rejected?
A) Yes
B) It cannot be determined.
C) No



A) Yes
B) It cannot be determined.
C) No
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28
The Golden Comet is a hybrid chicken that is prized for its high egg production
rate and gentle disposition. According to recent studies, the mean rate of egg

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29
The Golden Comet is a hybrid chicken that is prized for its high egg production rate and exhibit a mean egg-laying rate of 6.0 eggs/day. 

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30
Mercury is a heavy metal that can cause severe health problems in even small concentrations. 

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31
A test of
is performed using a significance level of
The value of the test statistic is z=-2.02 .
If the true value of
is 46 , does the conclusion result in a Type I error, a Type II error, or correct decision?
A) Correct decision
B) Type I error
C) Type II error


If the true value of

A) Correct decision
B) Type I error
C) Type II error
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32
The Golden Comet is a hybrid chicken that is prized for its high egg production rate and seeds, and plants that the hens obtain as they range freely around the farm. Her hens
Exhibit a mean egg-laying rate of 6.8 eggs/day.
N
Exhibit a mean egg-laying rate of 6.8 eggs/day.
N

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33
A test of
is performed using a significance level of
The value of the test statistic is z=-1.85 .
If the true value of
is 62 , does the conclusion result in a Type I error, a Type II error, or correct decision?
A) Correct decision
B) Type I error
C) Type II error


If the true value of

A) Correct decision
B) Type I error
C) Type II error
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34
A test of 
is performed using a significance level of
The P -value is 0.164 . Is
rejected?
A) No
B) Yes
C) It cannot be determined.

is performed using a significance level of


A) No
B) Yes
C) It cannot be determined.
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35
A test of
is performed using a significance level of
The P -value is 0.194 .
If the true value of
is 40 , does the conclusion result in a Type I error, a Type II error, or correct decision?
A) Type I error
B) Type II error
C) Correct decision


If the true value of

A) Type I error
B) Type II error
C) Correct decision
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36
A test of
is performed using a significance level of
The value of the test statistic is z=-1.84 .
If the true value of
is 55 does the conclusion result in a Type I error, a Type II error, or \varepsilon correct decision?
A) Type II error
B) Correct decision
C) Type I error


If the true value of

A) Type II error
B) Correct decision
C) Type I error
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37
A test of 
is performed using a significance level of
The P -value is 0.009 . Is
rejected?
A) Yes
B) No
C) It cannot be determined.

is performed using a significance level of


A) Yes
B) No
C) It cannot be determined.
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38
The following display from a TI-84 Plus calculator presents the results of a hypothesis test. ) 

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39
At a water bottling facility, a technician is testing a bottle filling machine that is supposed to deliver 500 milliliters of water. The technician dispenses 49 samples of water and determines the volume of each sample. The 49 samples have a mean volume of 
The machine is out of calibration if the mean volume differs from 500 mL.
The technician wants to perform a hypothesis test to determine whether the machine is ou calibration. State the appropriate null and alternate hypotheses.
A)
B)
C)
D)

The machine is out of calibration if the mean volume differs from 500 mL.
The technician wants to perform a hypothesis test to determine whether the machine is ou calibration. State the appropriate null and alternate hypotheses.
A)

B)

C)

D)

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40

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41
A sample of 41 students enroll in a program that claims to improve scores on the quantitative 

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42
Thirty-seven members of a bowling league sign up for a program that claims to improve
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43
Find the critical values for the following values of the significance level
sample size n , and alternate hypothesis 

A) -1.645,1.645
B) -2.228,2.228
C) -2.201,2.201
D) -1.812,1.812



A) -1.645,1.645
B) -2.228,2.228
C) -2.201,2.201
D) -1.812,1.812
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44
The following output from MINITAB presents the results of a hypothesis test. ) 

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45
The following output from MINITAB presents the results of a hypothesis test. ) 

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46
A sample of 46 students enroll in a program that claims to improve scores on the quantitative 

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47

The following display from a TI-84 Plus calculator presents the results of a hypothesis test. What is the P-value?
A)59.14
B)2.033924
C)57
D)0.041959
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48
Use technology to find the P -value for the following values of the test statistic t , sample size n , and alternate hypothesis 

A) 0.0930
B) 0.0578
C) 0.1156
D) 0.0465


A) 0.0930
B) 0.0578
C) 0.1156
D) 0.0465
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49
The following display from a TI-84 Plus calculator presents the results of a hypothesis test. ) 

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50
Use technology to find the P -value for the following values of the test statistic t , sample size n , and alternate hypothesis 

A) 0.0428
B) 0.0214
C) 0.0462
D) 0.0231


A) 0.0428
B) 0.0214
C) 0.0462
D) 0.0231
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51
The mean annual tuition and fees for a sample of 15 private colleges was $35,500 with astandard deviation of $6500. ) 

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52
Forty-five members of a bowling league sign up for a program that claims to improve 

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53
The following output from MINITAB presents the results of a hypothesis test. ) 

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54
A sample of 37 students enroll in a program that claims to improve scores on the
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55
Forty-two members of a bowling league sign up for a program that claims to improve 

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56
The following output from MINITAB presents the results of a hypothesis test. ) 

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57
Fifty members of a bowling league sign up for a program that claims to improve bowling scores. 

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58
Find the critical value for the following values of the significance level
sample size n , and alternate hypothesis 

A) -4.032
B) -3.143
C) -2.326
D) -3.365



A) -4.032
B) -3.143
C) -2.326
D) -3.365
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59
The mean annual tuition and fees for a sample of 9 private colleges was $30,100 with astandard deviation of $5500. A dotplot shows that it is reasonable to assume that thepopulation is approximately normal. You wish to test whether the mean tuition and feesfor private colleges is different from $33,000.Compute the value of the test statistic and state the number of degrees of freedom.
A)-0.527; 9 degrees of freedom
B)-0.527; 8 degrees of freedom
C)-1.582; 9 degrees of freedom
D)-1.582; 8 degrees of freedom
A)-0.527; 9 degrees of freedom
B)-0.527; 8 degrees of freedom
C)-1.582; 9 degrees of freedom
D)-1.582; 8 degrees of freedom
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60
A sample of 40 students enroll in a program that claims to improve scores on the quantitative 

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61
The following display from a TI-84 Plus calculator presents the results of a hypothesis test for a population mean 

Do you reject
at the
level of significance?
A) No
B) Yes


Do you reject


A) No
B) Yes
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62
A random sample of size 16 from a normal distribution has standard deviation s=32 .
Test
Use the
level of significance.
A) Do not reject
B) Reject
Test

Use the

level of significance.
A) Do not reject

B) Reject

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63
The mean annual tuition and fees for a sample of 12 private colleges was $39,200with a standard deviation of $4300. A dotplot shows that it is reasonable toassume that the population is approximately normal. You wish to test whether themean tuition and fees for private colleges is different from $35,500.
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64
The following display from a TI-84 Plus calculator presents the results of a hypothesis 

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65
The following display from a TI-84 Plus calculator presents the results of a hypothesis test for a population mean 

State the null and alternate hypotheses.
A)
B)
C)
D)


State the null and alternate hypotheses.
A)

B)

C)

D)

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66

A)9.4
B)0.554568
C)3.881977
D)0.000011
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67
The following display from a TI-84 Plus calculator presents the results of a hypothesis test for a population mean 

What is the value of
A) -0.283139
B) 40
C) 0.389120
D) 39.92


What is the value of

A) -0.283139
B) 40
C) 0.389120
D) 39.92
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68
Historically, a certain region has experienced 68 thunder days annually. (A "thunder day"is day on which at least one instance of thunder is audible to a normal human ear). Overthe past seven years, the mean number of thunder days is 58 with a standard deviation of26. Can you conclude that the mean number of thunder days is less than 68? Use the = 0.10 level of significance.
A)There is not enough information to draw a conclusion.
B)No. There is insufficient evidence to conclude that the number of thunder days is lessthan 68.
C)Yes. The number of thunder days appears to be less than 68.
A)There is not enough information to draw a conclusion.
B)No. There is insufficient evidence to conclude that the number of thunder days is lessthan 68.
C)Yes. The number of thunder days appears to be less than 68.
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69
A machine that fills beverage cans is supposed to put 16 ounces of beverage in each can.Following are the amounts measured in a simple random sample of eight cans. ) 

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70
The following display from a TI-84 Plus calculator presents the results of a hypothesis 

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71
In a simple random sample of size 73, there were 44 individuals in the category of interest. It is desired to test 
versus
Compute the test statistic z .
A) 0.60
B) -3.65
C) 0.05
D) 8.68

versus

Compute the test statistic z .
A) 0.60
B) -3.65
C) 0.05
D) 8.68
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72
The following display from a TI-84 Plus calculator presents the results of a hypothesis test for a population mean


How many degrees of freedom are there?
A) 51
B) 33
C) 50
D) 52


How many degrees of freedom are there?
A) 51
B) 33
C) 50
D) 52
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73
The following display from a TI-84 Plus calculator presents the results of a hypothesis test for a population mean 

What is the value of s ?
A) 0.55832
B) 0.016605
C) -2.182483
D) 30.84


What is the value of s ?
A) 0.55832
B) 0.016605
C) -2.182483
D) 30.84
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74

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75
In a simple random sample of size 77 , there were 37 individuals in the category of interest. Compute the sample proportion 
A) 0.481
B) 0.519
C) 114
D) 0.925

A) 0.481
B) 0.519
C) 114
D) 0.925
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76
In a simple random sample of size 95 , there were 66 individuals in the category of interest. It is desired to test
0.05 level?
versus
Do you reject
at the
A) Yes
B) No

versus

Do you reject

A) Yes
B) No
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77

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78

A)53
B)32
C)55
D)54
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79

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80
The mean annual tuition and fees for a sample of 11 private colleges was $34,100 with astandard deviation of $5400 A dotplot shows that it is reasonable to assume that thepopulation is approximately normal. ) 

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