Scenario: It is recommended that adults should sleep between 7 hours and 9 hours each night. In a recent National Health and Nutrition Examination Study, the sleep times for 12 randomly selected adults were obtained and their results are given below. At the 0.05 significance level, test the claim that adults do not get enough sleep. Assume that adult sleep times are normally distributed. x¯ 6.833 s 1.992 Work through the hypothesis test used to test this claim. Answer the following questions in the space provided. Note that if a number is required, a rounding rule will be provided for you to adhere to when entering your response AND if a multiple choice response is required, ONLY the capital letter of your answer selection should be typed as your response. Part 1: Identify the hypotheses used for conducting this hypothesis test. A. μ=7 B. μ≠7 C. μ<7 D. μ>7 Answers: H0 : HA: Part 2: When checking the assumptions of the test, is this sample large enough? A. Yes. Since the underlying distribution is normal, the sample size is sufficient. B. No. Since the sample size is only n=12, this test cannot be conducted. C. Yes. Since the sample size is less than 30, the sample size is sufficiently small. D. Yes. Since the sample size is more than 30, the sample size is sufficiently large. Answer: Part 3: Compute the p-value. Round your answer correct to three decimal places. Answer: Part 4: What is your decision? Explain your reasoning. A. Reject H0, because the p-value is greater than the significance level. B. Reject H0, because the p-value is less than the significance level. C. Fail to reject H0, because the p-value is greater than the significance level. D. Fail to reject H0, because the p-value is less than the significance level. Answer:
Scenario: It is recommended that adults should sleep between 7 hours and 9 hours each night. In a recent National Health and Nutrition Examination Study, the sleep times for 12 randomly selected adults were obtained and their results are given below. At the 0.05 significance level, test the claim that adults do not get enough sleep. Assume that adult sleep times are
| x¯ | 6.833 |
| s | 1.992 |
Work through the hypothesis test used to test this claim. Answer the following questions in the space provided. Note that if a number is required, a rounding rule will be provided for you to adhere to when entering your response AND if a multiple choice response is required, ONLY the capital letter of your answer selection should be typed as your response.
Part 1:
Identify the hypotheses used for conducting this hypothesis test.
A. μ=7
B. μ≠7
C. μ<7
D. μ>7
Answers:
H0 :
HA:
Part 2:
When checking the assumptions of the test, is this sample large enough?
A. Yes. Since the underlying distribution is normal, the
B. No. Since the sample size is only n=12, this test cannot be conducted.
C. Yes. Since the sample size is less than 30, the sample size is sufficiently small.
D. Yes. Since the sample size is more than 30, the sample size is sufficiently large.
Answer:
Part 3:
Compute the p-value.
Round your answer correct to three decimal places.
Answer:
Part 4:
What is your decision? Explain your reasoning.
A. Reject H0, because the p-value is greater than the significance level.
B. Reject H0, because the p-value is less than the significance level.
C. Fail to reject H0, because the p-value is greater than the significance level.
D. Fail to reject H0, because the p-value is less than the significance level.
Answer:
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