A Researcher Wants To Determine If Americans Are Sleeping Less Than The Recommended 7 Hours Of Sleep On Weekdays He Take 1 (49.36 KiB) Viewed 6 times
A Researcher Wants To Determine If Americans Are Sleeping Less Than The Recommended 7 Hours Of Sleep On Weekdays He Take 2 (40.59 KiB) Viewed 6 times
A researcher wants to determine if Americans are sleeping less than the recommended 7 hours of sleep on weekdays He takes a random sample of 150 Americans and computes the average sleep time of 6.7 hours on weekdays. Assume that the population is normally distributed with a known standard deviation of 21 hours. Test the researcher's claim at a=0.01. (You may find it useful to reference the appropriate table: zlable or table) a. Select the relevant null and the alternative hypotheses OHg: -7; H₂: #7 OHg: ≤ 7; M₂: # 27 He: μ27; HA: 4 < 7 b. Calculate the value of the test statistic (Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.) Test statistic c. Find the p-value Op-value <0.01 -1.75 0.01s p-value <0.025 O0.025 s p-value <0.05 0.005sp value <0.10 O p-value 20.10 d. What is the conclusion at a-001²
d. What is the conclusion at a=0.01² O Reject H since the p-value is greater than a Reject H since the p-value is smaller than a O Do not reject H since the p-value is greater than a Do not reject H since the p-value is smaller than a e. Make an inference O There is insufficient evidence to suggest that Americans sleep less than the recommended 7 hours of sleep. There is sufficient evidence to suggest that Americans sleep less than the recommended 7 hours of sleep.
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