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