Show the process of your calculation.
It is known that the average hours of sleep per night for college students in the US is 7.5. A professor in the ABC University conducted an on-campus survey on hours of sleep, and hours of sleep for randomly selected 8 students are:
6.1, 7.4, 6.4, 5.7, 8.1, 7.0, 7.2, 7.6.
Let μ be the average hours of sleep per night in ABC university. Test if the average hours of sleep per night for college students in ABC university is different than average hours of sleep per night for college students in the US at a significant level 5%.
1. Calculate the mean and the standard deviation of the data.2. State the null and alternative hypothesis for this question.3. What test you should choose? Check conditions that you can perform the hypothesis test. 4. Calculate the test statistic.5. Calculate the P-value.6. Find the rejection region.7. State your conclusion based on either P -value or rejection region.8. Interpretation the testing result under the context of question?9. Calculate a 95% confidence interval of the proportion.
10. Is 7.5 in the interval? How does this support your conclusion of the hypothesis test?
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