Maggy Mwangi
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Eight students in a statistics class were asked to report the number of hours they slept on
weeknights and on weekends. The table shows the results.
| Student # | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| weeknight hours | 8 | 5.5 | 7.5 | 8 | 7 | 6 | 6 | 8 |
| weekend hours | 4 | 7 | 10.5 | 12 | 11 | 9 | 6 | 9 |
a) How can you tell that this is a problem involving dependent samples?
b) Create a 90% confidence interval on the mean difference and interpret the intervals in the
context of the problem.
c) Write the two hypotheses for the problem.
d) Perform a statistical test on the difference in the number of hours slept on weeknights vs.
weekend nights and report your test statistic and p-value. Sketch the distribution of test
statistics and indicate your test statistic as well as the shaded region corresponding to p.
e) Make a conclusion based on your test.