Question
A study by the National Sleep Foundation indicates that college students, on average, get 7 hours of sleep per night. A random sample of 169
A study by the National Sleep Foundation indicates that college students, on average, get 7 hours of sleep per night. A random sample of 169 college students from an introductory statistics class reported an average sleep duration of 6.88 hours with a standard deviation of 0.94 hours. Assuming the sample accurately represents the college student population at large, a hypothesis test was performed to assess whether the average sleep duration is less than 7 hours per night. The p-value from this test is 0.0215.
(A) What are null hypothesis (H0) and the alternative hypothesis (Ha)?
(B) If the research question were "Do the data provide convincing evidence that the average amount of sleep college student get per night differs from the national average of 7 hours?" What would be the null hypothesis (H0) and the alternative hypothesis (Ha)?
(C) Based on part (B) and assuming the distribution is symmetric, what is the P-value for the test. Justify explain your answer.
(D) If the significance level is set at 5%, are the results from both parts (A) and (B) considered statistically significant? Your answer should be either Yes or No, if you answer No, please explain it.