Question

In: Statistics and Probability

You are studying the affect of financial means on students' average hours of sleep. You have...

You are studying the affect of financial means on students' average hours of sleep. You have found a reliable study indicating that students that have a job and do not receive financial support from their parents or guardians sleep an average of 5.8 hours per night (excluding weekends) on average (population average).
You decide to test whether or not students who do not work get more sleep per week night on average. You take a sample of 63 students that do not work and live with parents or guardians then you record the number of hours per week night they sleep for a period of 15 weeks (1 semester). You find that the average (mean) hours slept per week night in your sample is 7.2 hours and the standard deviation is 3.9 hours. Assume that average sleeping hours on week nights is normally distributed across students.

Remember to define the null and alternative hypotheses to help you answer the question.

What does your data indicate? (Based on a hypothesis test at the 1% significance level)

Select one:

a. Reject the null hypothesis, students that do not work and live with parents or guardians sleep less hours per week night on average.

b. Fail to reject the null hypothesis, students that do not work and live with parents or guardians sleep less hours per week night on average.

c. Fail to reject the null hypothesis, students that do not work and live with parents or guardians sleep more hours per week night on average.

d. Reject the null hypothesis, students that do not work and live with parents or guardians sleep more hours per week night on average.

Solutions

Expert Solution

d. Reject the null hypothesis, students that do not work and live with parents or guardians sleep more hours per week night on average.


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