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1. Use the information below to...

1.

Use the information below to answer the question.

The following table provides data on a sample of customers who visited a local restaurant. The restaurant owner believes that the average profit per customer exceeds $25.

36.73

35.50

25.92

38.36

41.65

25.50

18.78

19.78

33.14

22.22

20.85

26.23

22.13

32.33

28.46

34.15

34.72

24.21

24.20

28.95

21.84

19.74

20.75

Which of the following is the test statistic?

(Points : 1)

1.717

-1.867

1.867

-1.826

Question 2.2. A one-tailed test is employed when the null hypothesis ________. (Points : 1)

is structured as "?"

specifies a direction of relationship

is structured as "="

falls in the upper tail of the distribution

Question 3.3.

Use the below information to answer the question.

A company wishes to test whether the proportion of female managers is the same as the proportion of male managers. The following table provides data for a sample of employees.

Females

Males

Number of managers

18

23

Sample size

45

75

Identify the p-value. (Points : 1)

0.1483

0.2966

0.8517

0.7034

Question 4.4. If the confidence coefficient is 0.9, ________. (Points : 1)

we expect that 9 samples out of 100 will support the null hypothesis

we expect that 90 out of 100 samples will support the null hypothesis

we expect that 10 samples out of 100 will support the null hypothesis

we expect that all 100 samples will support the null hypothesis

Question 5.5. The hypothesized sampling distribution of the test statistic is divided into ________ parts. (Points : 1)

four

two

six

three

Question 6.6. Increasing the sample size is one way to ________. (Points : 1)

reduce ß

reduce the power of the test

increase the standard error of the mean

determine the exact ß value

Question 7.7. Hypothesis testing always assumes that ________. (Points : 1)

the alternative hypothesis is true

the null hypothesis is true

the probability of the null hypothesis being true is less than 50%

the probability of the alternative hypothesis being true is less than 50%

Question 8.8. Which of the following is not an appropriate alternative hypothesis for the null hypothesis, H0: mean production cost = $2.00? (Points : 1)

H1: mean production cost > $2.00

H1: mean production costs < $2.00

H1: mean production costs = $2.00

H1: mean production costs ? $2.00

Question 9.9. The alternative hypothesis ________. (Points : 1)

describes an existing theory or belief that is accepted as correct in the absence of contradictory data.

is based on new information provided by population data.

is based on new information provided by sample data.

is not deemed to be an important part of inferential statistics.

Question 10.10. The decision to reject or fail to reject a null hypothesis is based on computing a ________ from sample data. (Points : 1)

population parameter

critical value

level of significance

test statistic

Question 11.11. Hypothesis testing involves drawing inferences about two contrasting ________ relating to the value of a population parameter. (Points : 1)

theorems

data sets

assumptions

propositions

Question 12.12. The t-Test Statistic has a t distribution with ________ degrees of freedom. (Points : 1)

n

n + 1

n - 2

n - 1

Question 13.13.

Use the below information to answer the question.

A company wishes to test whether the proportion of female managers is the same as the proportion of male managers. The following table provides data for a sample of employees.

Females

Males

Number of managers

18

23

Sample size

45

75

Which of the following is the test statistic? [Hint: Use PHStat] (Points : 1)

1.96

-1.04

-1.96

1.04

Question 14.14. The alternative hypothesis is denoted by ________. (Points : 1)

HN

H0

H1

HAl

Question 15.15. An online retailer wanted to see if purchasing patterns were different between male consumers and female consumers. Males were found to have spent a mean of $85 per month on online purchases, whereas females were found to have spent a mean of $78 per month. An independent samples t-test was conducted to assess the observed difference between the two groups of consumers. A two-tailed test was applied. The value of the t-Test Statistic for the observed differences was -4.7, where the p-value is less than 0.0002. What conclusion can be made about the observed difference? (Points : 1)

There is a statistically significant difference between the two groups of consumers.

There is statistically no significant difference between the two groups of consumers.

The independent samples t-test is not the appropriate hypothesis-testing proce

Use the information below to answer the question.

The following table provides data on a sample of customers who visited a local restaurant. The restaurant owner believes that the average profit per customer exceeds $25.

36.73

35.50

25.92

38.36

41.65

25.50

18.78

19.78

33.14

22.22

20.85

26.23

22.13

32.33

28.46

34.15

34.72

24.21

24.20

28.95

21.84

19.74

20.75

Which of the following is the test statistic?

(Points : 1)

1.717

-1.867

1.867

-1.826

Question 2.2. A one-tailed test is employed when the null hypothesis ________. (Points : 1)

is structured as "?"

specifies a direction of relationship

is structured as "="

falls in the upper tail of the distribution

Question 3.3.

Use the below information to answer the question.

A company wishes to test whether the proportion of female managers is the same as the proportion of male managers. The following table provides data for a sample of employees.

Females

Males

Number of managers

18

23

Sample size

45

75

Identify the p-value. (Points : 1)

0.1483

0.2966

0.8517

0.7034

Question 4.4. If the confidence coefficient is 0.9, ________. (Points : 1)

we expect that 9 samples out of 100 will support the null hypothesis

we expect that 90 out of 100 samples will support the null hypothesis

we expect that 10 samples out of 100 will support the null hypothesis

we expect that all 100 samples will support the null hypothesis

Question 5.5. The hypothesized sampling distribution of the test statistic is divided into ________ parts. (Points : 1)

four

two

six

three

Question 6.6. Increasing the sample size is one way to ________. (Points : 1)

reduce ß

reduce the power of the test

increase the standard error of the mean

determine the exact ß value

Question 7.7. Hypothesis testing always assumes that ________. (Points : 1)

the alternative hypothesis is true

the null hypothesis is true

the probability of the null hypothesis being true is less than 50%

the probability of the alternative hypothesis being true is less than 50%

Question 8.8. Which of the following is not an appropriate alternative hypothesis for the null hypothesis, H0: mean production cost = $2.00? (Points : 1)

H1: mean production cost > $2.00

H1: mean production costs < $2.00

H1: mean production costs = $2.00

H1: mean production costs ? $2.00

Question 9.9. The alternative hypothesis ________. (Points : 1)

describes an existing theory or belief that is accepted as correct in the absence of contradictory data.

is based on new information provided by population data.

is based on new information provided by sample data.

is not deemed to be an important part of inferential statistics.

Question 10.10. The decision to reject or fail to reject a null hypothesis is based on computing a ________ from sample data. (Points : 1)

population parameter

critical value

level of significance

test statistic

Question 11.11. Hypothesis testing involves drawing inferences about two contrasting ________ relating to the value of a population parameter. (Points : 1)

theorems

data sets

assumptions

propositions

Question 12.12. The t-Test Statistic has a t distribution with ________ degrees of freedom. (Points : 1)

n

n + 1

n - 2

n - 1

Question 13.13.

Use the below information to answer the question.

A company wishes to test whether the proportion of female managers is the same as the proportion of male managers. The following table provides data for a sample of employees.

Females

Males

Number of managers

18

23

Sample size

45

75

Which of the following is the test statistic? [Hint: Use PHStat] (Points : 1)

1.96

-1.04

-1.96

1.04

Question 14.14. The alternative hypothesis is denoted by ________. (Points : 1)

HN

H0

H1

HAl

Question 15.15. An online retailer wanted to see if purchasing patterns were different between male consumers and female consumers. Males were found to have spent a mean of $85 per month on online purchases, whereas females were found to have spent a mean of $78 per month. An independent samples t-test was conducted to assess the observed difference between the two groups of consumers. A two-tailed test was applied. The value of the t-Test Statistic for the observed differences was -4.7, where the p-value is less than 0.0002. What conclusion can be made about the observed difference? (Points : 1)

There is a statistically significant difference between the two groups of consumers.

There is statistically no significant difference between the two groups of consumers.

The independent samples t-test is not the appropriate hypothesis-testing proce

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