Question 1 of 12 1.0 Points

Consider the following scenario in answering questions 1 through 4.

Results from previous studies show 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.

State the null and alternative hypotheses.

A. H0: μ = 0.79, H1: μ > 0.79

B. H0: p = 0.79, H1: p ≠ 0.79

C. H0: p = 0.79, H1: p > 0.79

D. H0: = 0.79, H1: > 0.79

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Question 2 of 12 1.0 Points

Consider the following scenario in answering questions 1 through 4.

Results from previous studies show 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.

Compute the z or t value of the sample test statistic.

A. z = 0.69

B. t = 1.645

C. z = 1.96

D. z = 0.62

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Question 3 of 12 1.0 Points

Consider the following scenario in answering questions 1 through 4.

Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.

What is the p-value associated with your test of hypothesis?

A. 0.7563

B. 0.6874

C. 0.4874

D. 0.2437

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Question 4 of 12 1.0 Points

Consider the following scenario in answering questions 1 through 4.

Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.

What is your conclusion?

A. Do not reject H0. There is NOT sufficient evidence to support the claim that the proportion of students planning to go to college is greater than 0.79.

B. Reject H0. There IS sufficient evidence to support the claim that the proportion of students planning to go to college is now greater than 0.79.

C. Do not reject H0. There IS sufficient evidence to support the claim that the proportion of students planning to go to college is greater than 0.79.

D. Reject H0. There is NOT sufficient evidence to support the claim that the proportion of students planning to go to college is now greater than 0.79.

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Question 5 of 12 1.0 Points

Consider the following scenario in answering questions 5 through 7.

In an article appearing in Today’s Health, a writer states that a single serving of popcorn has on average 75 calories. To determine if the average number of calories in a single serving of popcorn is different from 75, a nutritionist selects a random sample of 20 servings of popcorn and computes the sample mean number of calories to be 78 with a sample standard deviation of 7. Assume the caloric content of popcorn is normally distributed.

State the null and alternative hypotheses.

A. H0: μ = 75, H1: μ ≠ 75

B. H0: μ ≤ 75, H1: μ > 75

C. H0: μ ≥ 75, H1: μ < 75

D. H0: μ = 75, H1: μ > 75

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Question 6 of 12 1.0 Points

Consider the following scenario in answering questions 5 through 7.

In an article appearing in Today’s Health, a writer states that a single serving of popcorn has on average 75 calories. To determine if the average number of calories in a single serving of popcorn is different from 75, a nutritionist selects a random sample of 20 servings of popcorn and computes the sample mean number of calories to be 78 with a sample standard deviation of 7. Assume the caloric content of popcorn is normally distributed.

Compute the test value for this hypothesis test.

Test value: Round your answer to two decimal places as necessary.

Question 7 of 12 1.0 Points

Consider the following scenario in answering questions 5 through 7.

In an article appearing in Today’s Health, a writer states that a single serving of popcorn has on average 75 calories. To determine if the average number of calories in a single serving of popcorn is different from 75, a nutritionist selects a random sample of 20 servings of popcorn and computes the sample mean number of calories to be 78 with a sample standard deviation of 7. Assume the caloric content of popcorn is normally distributed.

At the α = 0.05 level of significance, does the nutritionist have enough evidence to reject the writer’s claim?

A. No, because the test value is greater than the critical value.

B. Yes, because the test value is less than the critical value.

C. No, because the test value is in the noncritical region.

D. Yes, because the test value falls in the critical region.

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Question 8 of 12 1.0 Points

Consider the following in answering questions 8 through 10.

A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, is there sufficient evidence at the α = 0.01 level of significance to conclude that the lab technician’s accuracy is greater than the target accuracy?

State the null and alternative hypotheses.

A. H0: σ2 < 1.2, H1: σ2 ≠ 1.2

B. H0: σ2 = 1.2, H1: σ2 > 1.2

C. H0: σ2 ≠ 1.2, H1: σ2 = 1.2

D. H0: σ2 = 1.2, H1: σ2 ≠ 1.2

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Question 9 of 12 1.0 Points

Consider the following in answering questions 8 through 10.

A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, is there sufficient evidence at the α = 0.01 level of significance to conclude that the lab technician’s accuracy is greater than the target accuracy?

Compute the value of the appropriate test value.

A. 53.78

B. 4.46

C. 27.50

D. 50.42

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Question 10 of 12 1.0 Points

Consider the following in answering questions 8 through 10.

A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, is there sufficient evidence at the α = 0.01 level of significance to conclude that the lab technician’s accuracy is greater than the target accuracy?

What is the critical value for this hypothesis test?

Critical value: Round your answer to three decimal places as necessary.

What is your decision for this test?

1 = Do not reject the null hypothesis

2 = Reject the null hypothesis

Answer: Enter a 1 or 2 for your answer.

Is there sufficient evidence to conclude that the lab technician's variances are greater than the target accuracy?

1 = Yes

2 = No

Answer: Enter a 1 or 2 for your answer.

Part 2 of 3 -

Question 11 of 12 1.0 Points

At a university, the average cost of books per student has been $550 per student per semester. The Dean of Students believes that the costs are increasing and that the average is now greater than $550. He surveys a sample of 40 students and finds that for the most recent semester their average cost was $630 with a standard deviation of $120. What is the test value for this hypothesis test?

Test value: Round your answer to two decimal places as necessary.

Part 3 of 3 -

Question 12 of 12 1.0 Points

A survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shop determines that of 190 customers, 15 customers stated their preference for mint chocolate chip.

Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance.

P-value: Round your answer to four decimal places as necessary.

Consider the following scenario in answering questions 1 through 4.

Results from previous studies show 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.

State the null and alternative hypotheses.

A. H0: μ = 0.79, H1: μ > 0.79

B. H0: p = 0.79, H1: p ≠ 0.79

C. H0: p = 0.79, H1: p > 0.79

D. H0: = 0.79, H1: > 0.79

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Question 2 of 12 1.0 Points

Consider the following scenario in answering questions 1 through 4.

Results from previous studies show 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.

Compute the z or t value of the sample test statistic.

A. z = 0.69

B. t = 1.645

C. z = 1.96

D. z = 0.62

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Question 3 of 12 1.0 Points

Consider the following scenario in answering questions 1 through 4.

Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.

What is the p-value associated with your test of hypothesis?

A. 0.7563

B. 0.6874

C. 0.4874

D. 0.2437

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Question 4 of 12 1.0 Points

Consider the following scenario in answering questions 1 through 4.

Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.

What is your conclusion?

A. Do not reject H0. There is NOT sufficient evidence to support the claim that the proportion of students planning to go to college is greater than 0.79.

B. Reject H0. There IS sufficient evidence to support the claim that the proportion of students planning to go to college is now greater than 0.79.

C. Do not reject H0. There IS sufficient evidence to support the claim that the proportion of students planning to go to college is greater than 0.79.

D. Reject H0. There is NOT sufficient evidence to support the claim that the proportion of students planning to go to college is now greater than 0.79.

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Question 5 of 12 1.0 Points

Consider the following scenario in answering questions 5 through 7.

In an article appearing in Today’s Health, a writer states that a single serving of popcorn has on average 75 calories. To determine if the average number of calories in a single serving of popcorn is different from 75, a nutritionist selects a random sample of 20 servings of popcorn and computes the sample mean number of calories to be 78 with a sample standard deviation of 7. Assume the caloric content of popcorn is normally distributed.

State the null and alternative hypotheses.

A. H0: μ = 75, H1: μ ≠ 75

B. H0: μ ≤ 75, H1: μ > 75

C. H0: μ ≥ 75, H1: μ < 75

D. H0: μ = 75, H1: μ > 75

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Question 6 of 12 1.0 Points

Consider the following scenario in answering questions 5 through 7.

In an article appearing in Today’s Health, a writer states that a single serving of popcorn has on average 75 calories. To determine if the average number of calories in a single serving of popcorn is different from 75, a nutritionist selects a random sample of 20 servings of popcorn and computes the sample mean number of calories to be 78 with a sample standard deviation of 7. Assume the caloric content of popcorn is normally distributed.

Compute the test value for this hypothesis test.

Test value: Round your answer to two decimal places as necessary.

Question 7 of 12 1.0 Points

Consider the following scenario in answering questions 5 through 7.

In an article appearing in Today’s Health, a writer states that a single serving of popcorn has on average 75 calories. To determine if the average number of calories in a single serving of popcorn is different from 75, a nutritionist selects a random sample of 20 servings of popcorn and computes the sample mean number of calories to be 78 with a sample standard deviation of 7. Assume the caloric content of popcorn is normally distributed.

At the α = 0.05 level of significance, does the nutritionist have enough evidence to reject the writer’s claim?

A. No, because the test value is greater than the critical value.

B. Yes, because the test value is less than the critical value.

C. No, because the test value is in the noncritical region.

D. Yes, because the test value falls in the critical region.

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Question 8 of 12 1.0 Points

Consider the following in answering questions 8 through 10.

A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, is there sufficient evidence at the α = 0.01 level of significance to conclude that the lab technician’s accuracy is greater than the target accuracy?

State the null and alternative hypotheses.

A. H0: σ2 < 1.2, H1: σ2 ≠ 1.2

B. H0: σ2 = 1.2, H1: σ2 > 1.2

C. H0: σ2 ≠ 1.2, H1: σ2 = 1.2

D. H0: σ2 = 1.2, H1: σ2 ≠ 1.2

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Question 9 of 12 1.0 Points

Consider the following in answering questions 8 through 10.

A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, is there sufficient evidence at the α = 0.01 level of significance to conclude that the lab technician’s accuracy is greater than the target accuracy?

Compute the value of the appropriate test value.

A. 53.78

B. 4.46

C. 27.50

D. 50.42

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Question 10 of 12 1.0 Points

Consider the following in answering questions 8 through 10.

A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, is there sufficient evidence at the α = 0.01 level of significance to conclude that the lab technician’s accuracy is greater than the target accuracy?

What is the critical value for this hypothesis test?

Critical value: Round your answer to three decimal places as necessary.

What is your decision for this test?

1 = Do not reject the null hypothesis

2 = Reject the null hypothesis

Answer: Enter a 1 or 2 for your answer.

Is there sufficient evidence to conclude that the lab technician's variances are greater than the target accuracy?

1 = Yes

2 = No

Answer: Enter a 1 or 2 for your answer.

Part 2 of 3 -

Question 11 of 12 1.0 Points

At a university, the average cost of books per student has been $550 per student per semester. The Dean of Students believes that the costs are increasing and that the average is now greater than $550. He surveys a sample of 40 students and finds that for the most recent semester their average cost was $630 with a standard deviation of $120. What is the test value for this hypothesis test?

Test value: Round your answer to two decimal places as necessary.

Part 3 of 3 -

Question 12 of 12 1.0 Points

A survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shop determines that of 190 customers, 15 customers stated their preference for mint chocolate chip.

Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance.

P-value: Round your answer to four decimal places as necessary.

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