A sociologist claims that sleeping time of children ages 12-14in 1981 is different from that of children ages 12-14 today. Astudy was conducted in 1981 to find the time that children ages12-14 with samplse size of 22. Recently, similar study wasconducted with sample size of 20. Summary of the sleep timecomarison is given below. Use α = 0.01 to perform the analysis.

 data: sleep_1981 and sleep_now t = -8.7477, p-value = ...... alternative hypothesis: true difference in means is not equal to 0 99 percent confidence interval:

  -1.6238202 -0.8561798 sample estimates: mean sleep time 1981 mean sleep time recently

7.75 8.99

1. (a) Which test is reasonable to use? Indepenpaired t-test orpaired t-test? Defend your choice.

2. (b) State the null and alternative hypothesis.

3. (c) Circle one: One Tail Test / Two Tail Test.

4. (d) Illustrate graphically the rejection region.

5. (e) Find the p-value for the test statistic. Use table.

   (f) Give the significant statement for the hypothesis test. Makesure to connect your result with the story of question for fullcredit.

   (g) Find 99% confidence interval and interpret it in the contextof the question. Pay extra attention to the signs of lower andupper limits of confidence interval. Does it reveal more about thecomparisons of these data?