Question 1

If the null hypothesis is not rejected when it is false, a type II error has been committed.

Accepted Answer

A) True 
 B)False

Question 2

The Eagle Ridge Contractors' Association claims the average price of a home in their subdivision is
$125,150, with a standard deviation of $7,350. A sample of 36 homes for sale in this subdivision had an
average selling price of $123,550. Is there evidence that the costs of homes for sale in this subdivision are
actually lower than claimed?
-An average department store sells 200 men's suits per year. The men's suit departments at a particular national chain of stores claim that they more than the industry average. In a sample of 50 stores, they
Sold, on the average, 280 suits per year with a standard deviation of $40. What is the test statistic for this
Hypothesis?

Accepted Answer

A)  0.28 
B)  2.00 
C)  8.07 
D)  14.14 
A)  0.28 
B)  2.00 
C)  8.07 
D)  14.14

Question 3

An average computer mouse inspector can inspect 40 mice per hour. The 46 computer mice inspectors at a particular factory can only inspect 36 mice per hour with a standard deviation of 8. Does the company
Have reason to believe that these inspectors are slower than average?

Accepted Answer

A)  Yes, because -3.39 falls in the noncritical region 
B)  No, because -1.95 falls in the critical region 
C)  Yes, because -3.39 falls in the critical region 
D)  No, because -1.95 falls in the noncritical region 
A)  Yes, because -3.39 falls in the noncritical region 
B)  No, because -1.95 falls in the critical region 
C)  Yes, because -3.39 falls in the critical region 
D)  No, because -1.95 falls in the noncritical region

Question 4

The Eagle Ridge Contractors' Association claims the average price of a home in their subdivision is
$125,150, with a standard deviation of $7,350. A sample of 36 homes for sale in this subdivision had an
average selling price of $123,550. Is there evidence that the costs of homes for sale in this subdivision are
actually lower than claimed?
-At $a = 0.05$ , what is the test value?

Accepted Answer

A)  -1.31 
B)  1.31 
C)  -1.52 
D)  1.52 
A)  -1.31 
B)  1.31 
C)  -1.52 
D)  1.52

Question 5

Are the following statements $\mathrm { H } _ { 0 } : \mu \geq 6 \mathrm { H } _ { \mathrm { A } } : \mu \leq 19$ a valid pair of null and alternative hypotheses?

Accepted Answer

A)  No, there are no parameters contained in these statements 
B)  No, the alternative hypothesis cannot contain numeric values 
C)  No, these statements have overlapping regions 
D)  No, these statements both compare a parameter to a value 
A)  No, there are no parameters contained in these statements 
B)  No, the alternative hypothesis cannot contain numeric values 
C)  No, these statements have overlapping regions 
D)  No, these statements both compare a parameter to a value

Question 6

Using the z table in Table E of Appendix C, determine the critical value for the left-tailed test with $\alpha =$ 0.02.

Accepted Answer

A)  2.33 
B)  2.05 
C)  -2.33 
D)  -2.05 
A)  2.33 
B)  2.05 
C)  -2.33 
D)  -2.05

Question 7

Stating the hypothesis is the first step used in hypothesis testing.

Accepted Answer

A) True 
 B)False

Question 8

A random sample of 25 rats was fed a diet for a period of 4 weeks. The weight gain (in grams) was recorded for each rat. It is known that the population variance is 4. The average weight gain was 16.1.
The P-value for testing the claim that this diet would increase weight by at least 15 grams would be

Accepted Answer

A)  0.005 
B)  0.003 
C)  0.014 
D)  0.135 
A)  0.005 
B)  0.003 
C)  0.014 
D)  0.135

Question 9

When conducting a two-tailed z.-test with $\alpha = 0.01$ , the test value was 2.07. The decision would be: do
not reject the null hypothesis.

Accepted Answer

A) True 
 B)False

Question 10

If the observed value is 4, the expected value is 5, and the standard error is 3, then the test value used for the z test is equal to

Accepted Answer

A)  0.33 
B)  1.00 
C)  -1.00 
D)  -0.33 
A)  0.33 
B)  1.00 
C)  -1.00 
D)  -0.33

Question 11

Sam Ying, a career counsellor, claims the average number of years of schooling for an engineer is 15.8
years. A sample of 16 engineers had a mean of 15 years and a standard deviation of 1.5 years. The test
value would be -2.68.

Accepted Answer

A) True 
 B)False

Question 12

A recent study claims that business travelers spend an average of $41 per day on meals. A sample of 16 business travelers found that they had spent an average of $45 per day with a standard deviation of $3.65.
If $a = 0.05$ , what are the critical values?

Accepted Answer

A)  $\pm 2.120$ 
B)  $\pm 2.131$ 
C)  $\pm 1.753$ 
D)  $\pm 1.746$ 
A)  $\pm 2.120$ 
B)  $\pm 2.131$ 
C)  $\pm 1.753$ 
D)  $\pm 1.746$

Question 13

Reginald Brown, an inspector from the Department of Industry, weighs fifteen 18-ounce cereal boxes of
corn flakes. He finds their mean weight to be 17.78 ounces with a standard deviation of 0.4 ounces. Are
the cereal boxes lighter than they should be? Let $$\alpha = 0.01$$

Accepted Answer

@#LAT-DLM& There is not enough evidence

Question 14

The Eagle Ridge Contractors' Association claims the average price of a home in their subdivision is
$125,150, with a standard deviation of $7,350. A sample of 36 homes for sale in this subdivision had an
average selling price of $123,550. Is there evidence that the costs of homes for sale in this subdivision are
actually lower than claimed?
-What is the p-value for a one-sided test of the data provided above?

Accepted Answer

A)  0.0853 
B)  0.0951 
C)  0.1327 
D)  0.0036 
A)  0.0853 
B)  0.0951 
C)  0.1327 
D)  0.0036

Question 15

It has been claimed that at a certain university at least 40% of the students live on campus. From a sample
of 250 students, 90 live on campus. Does the evidence support this claim at $$\alpha = 0.01$$ ?

Accepted Answer

@#LAT-DLM& The claim that at least 40% o

Question 16

Which of the following is true?

Accepted Answer

A)  The smaller the P-value, the stronger is the evidence against the null hypothesis. 
B)  For fixed sample size, increasing the alpha error increases the beta error. 
C)  If the type I error is held constant, increasing the sample size increases the type II error. 
D)  The power of a test equals a + b. 
A)  The smaller the P-value, the stronger is the evidence against the null hypothesis. 
B)  For fixed sample size, increasing the alpha error increases the beta error. 
C)  If the type I error is held constant, increasing the sample size increases the type II error. 
D)  The power of a test equals a + b.

Question 17

The average speed of greyhound dogs is about 18.9 meters per second. A particular greyhound breeder claims that her dogs are faster than the average greyhound. In a sample of 40 of her dogs, they ran, on the
Average, 19.4 meters per second with a standard deviation of 1.4. Is her claim correct?

Accepted Answer

A)  Yes, because 0.06 falls in the critical region 
B)  No, because 0.06 falls in the critical region 
C)  Yes, because 2.26 falls in the critical region 
D)  No, because 0.5 falls in the critical region 
A)  Yes, because 0.06 falls in the critical region 
B)  No, because 0.06 falls in the critical region 
C)  Yes, because 2.26 falls in the critical region 
D)  No, because 0.5 falls in the critical region

Question 18

A lumber mill is tested for consistency by measuring the variance of board thicknesses. The target accuracy a variance of 0.0015 or less. If 22 measurements are taken and their variance is 0.006, is there
Enough evidence to reject the claim that her standard deviation is within the limit at   ?

Accepted Answer

A)  Yes, comparing the test value 84.00 and the critical value 38.93. 
B)  No, comparing the test value 18.33 and the critical value 38.93. 
C)  Yes, comparing the test value 84.00 and the critical value 40.29. 
D)  No, comparing the test value 18.33 and the critical value 40.29. 
A)  Yes, comparing the test value 84.00 and the critical value 38.93. 
B)  No, comparing the test value 18.33 and the critical value 38.93. 
C)  Yes, comparing the test value 84.00 and the critical value 40.29. 
D)  No, comparing the test value 18.33 and the critical value 40.29.

Question 19

$\text { A right-tailed test is used when } H _ { 0 } : \mu \geq k \text {. }$

Accepted Answer

A) True 
 B)False

Question 20

Dr. Christina Cuttleman, a nutritionist, claims that the average number of calories in a serving of popcorn
is 75 with a standard deviation of 7. A sample of 50 servings of popcorn yields an average of 78 calories.
Check Dr. Cuttleman's claim at $a = 0.05$

Accepted Answer

The answer of Dr. Christina Cuttleman, a nutritionist, claims that...

If the null hypothesis is not rejected when it is false, a type II error has been committed.

An average computer mouse inspector can inspect 40 mice per hour. The 46 computer mice inspectors at a particular factory can only inspect 36 mice per hour with a standard deviation of 8. Does the company Have reason to believe that these inspectors are slower than average?

Are the following statements $\mathrm { H } _ { 0 } : \mu \geq 6 \mathrm { H } _ { \mathrm { A } } : \mu \leq 19$ a valid pair of null and alternative hypotheses?

Using the z table in Table E of Appendix C, determine the critical value for the left-tailed test with $\alpha =$ 0.02.

Stating the hypothesis is the first step used in hypothesis testing.

When conducting a two-tailed z.-test with $\alpha = 0.01$ , the test value was 2.07. The decision would be: do not reject the null hypothesis.

If the observed value is 4, the expected value is 5, and the standard error is 3, then the test value used for the z test is equal to

Sam Ying, a career counsellor, claims the average number of years of schooling for an engineer is 15.8 years. A sample of 16 engineers had a mean of 15 years and a standard deviation of 1.5 years. The test value would be -2.68.

A recent study claims that business travelers spend an average of $41 per day on meals. A sample of 16 business travelers found that they had spent an average of $45 per day with a standard deviation of $3.65. If $a = 0.05$ , what are the critical values?

Reginald Brown, an inspector from the Department of Industry, weighs fifteen 18-ounce cereal boxes of corn flakes. He finds their mean weight to be 17.78 ounces with a standard deviation of 0.4 ounces. Are the cereal boxes lighter than they should be? Let $\alpha = 0.01$

It has been claimed that at a certain university at least 40% of the students live on campus. From a sample of 250 students, 90 live on campus. Does the evidence support this claim at $\alpha = 0.01$ ?

Which of the following is true?

The average speed of greyhound dogs is about 18.9 meters per second. A particular greyhound breeder claims that her dogs are faster than the average greyhound. In a sample of 40 of her dogs, they ran, on the Average, 19.4 meters per second with a standard deviation of 1.4. Is her claim correct?

A lumber mill is tested for consistency by measuring the variance of board thicknesses. The target accuracy a variance of 0.0015 or less. If 22 measurements are taken and their variance is 0.006, is there Enough evidence to reject the claim that her standard deviation is within the limit at ?

$\text { A right-tailed test is used when } H _ { 0 } : \mu \geq k \text {. }$

Dr. Christina Cuttleman, a nutritionist, claims that the average number of calories in a serving of popcorn is 75 with a standard deviation of 7. A sample of 50 servings of popcorn yields an average of 78 calories. Check Dr. Cuttleman's claim at $a = 0.05$

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Testing the Difference Between Two Means, Two Proportions, and Two Variances

Correlation and Regression

Chi-Square and Analysis of Variance Anova

Tables

Data Bank

Glossary

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Exam 7: Hypothesis Testing

If the null hypothesis is not rejected when it is false, a type II error has been committed.

An average computer mouse inspector can inspect 40 mice per hour. The 46 computer mice inspectors at a particular factory can only inspect 36 mice per hour with a standard deviation of 8. Does the company Have reason to believe that these inspectors are slower than average?

Are the following statements H0:μ≥6HA:μ≤19\mathrm { H } _ { 0 } : \mu \geq 6 \mathrm { H } _ { \mathrm { A } } : \mu \leq 19H0​:μ≥6HA​:μ≤19 a valid pair of null and alternative hypotheses?

Using the z table in Table E of Appendix C, determine the critical value for the left-tailed test with α=\alpha =α= 0.02.

Stating the hypothesis is the first step used in hypothesis testing.

When conducting a two-tailed z.-test with α=0.01\alpha = 0.01α=0.01 , the test value was 2.07. The decision would be: do not reject the null hypothesis.

If the observed value is 4, the expected value is 5, and the standard error is 3, then the test value used for the z test is equal to

Sam Ying, a career counsellor, claims the average number of years of schooling for an engineer is 15.8 years. A sample of 16 engineers had a mean of 15 years and a standard deviation of 1.5 years. The test value would be -2.68.

A recent study claims that business travelers spend an average of $41 per day on meals. A sample of 16 business travelers found that they had spent an average of $45 per day with a standard deviation of $3.65. If a=0.05a = 0.05a=0.05 , what are the critical values?

Reginald Brown, an inspector from the Department of Industry, weighs fifteen 18-ounce cereal boxes of corn flakes. He finds their mean weight to be 17.78 ounces with a standard deviation of 0.4 ounces. Are the cereal boxes lighter than they should be? Let α=0.01\alpha = 0.01α=0.01

It has been claimed that at a certain university at least 40% of the students live on campus. From a sample of 250 students, 90 live on campus. Does the evidence support this claim at α=0.01\alpha = 0.01α=0.01 ?

Which of the following is true?

The average speed of greyhound dogs is about 18.9 meters per second. A particular greyhound breeder claims that her dogs are faster than the average greyhound. In a sample of 40 of her dogs, they ran, on the Average, 19.4 meters per second with a standard deviation of 1.4. Is her claim correct?

A lumber mill is tested for consistency by measuring the variance of board thicknesses. The target accuracy a variance of 0.0015 or less. If 22 measurements are taken and their variance is 0.006, is there Enough evidence to reject the claim that her standard deviation is within the limit at ?

A right-tailed test is used when H0:μ≥k. \text { A right-tailed test is used when } H _ { 0 } : \mu \geq k \text {. } A right-tailed test is used when H0​:μ≥k.

Dr. Christina Cuttleman, a nutritionist, claims that the average number of calories in a serving of popcorn is 75 with a standard deviation of 7. A sample of 50 servings of popcorn yields an average of 78 calories. Check Dr. Cuttleman's claim at a=0.05a = 0.05a=0.05

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Testing the Difference Between Two Means, Two Proportions, and Two Variances

Correlation and Regression

Chi-Square and Analysis of Variance Anova

Tables

Data Bank

Glossary

Filters

Are the following statements $\mathrm { H } _ { 0 } : \mu \geq 6 \mathrm { H } _ { \mathrm { A } } : \mu \leq 19$ a valid pair of null and alternative hypotheses?

Using the z table in Table E of Appendix C, determine the critical value for the left-tailed test with $\alpha =$ 0.02.

When conducting a two-tailed z.-test with $\alpha = 0.01$ , the test value was 2.07. The decision would be: do not reject the null hypothesis.

A recent study claims that business travelers spend an average of $41 per day on meals. A sample of 16 business travelers found that they had spent an average of $45 per day with a standard deviation of $3.65. If $a = 0.05$ , what are the critical values?

Reginald Brown, an inspector from the Department of Industry, weighs fifteen 18-ounce cereal boxes of corn flakes. He finds their mean weight to be 17.78 ounces with a standard deviation of 0.4 ounces. Are the cereal boxes lighter than they should be? Let $\alpha = 0.01$

It has been claimed that at a certain university at least 40% of the students live on campus. From a sample of 250 students, 90 live on campus. Does the evidence support this claim at $\alpha = 0.01$ ?

$\text { A right-tailed test is used when } H _ { 0 } : \mu \geq k \text {. }$

Dr. Christina Cuttleman, a nutritionist, claims that the average number of calories in a serving of popcorn is 75 with a standard deviation of 7. A sample of 50 servings of popcorn yields an average of 78 calories. Check Dr. Cuttleman's claim at $a = 0.05$