Answer Happy

Questions 7 through 13: Do students sleep more in Pennsylvania or in California? Data from surveys in elementary statistics classes at Penn State University (sample 1) and the University of California at Davis (sample 2) resulted in the following summary statistics for the number of hours students sleep: Penn State UC Davis n 190 173 Mean 7.11 6.93 St Dev 1.95 1.71 SE Mean 0.14 0.13 Consider the two samples are representative of students at each university. What do we know? S1 = n1 = Xx= S2 = n2 = X - _ - a = 0.05 Page 1 of 3 Step 2: Determine the null and alternative hypotheses. Is the research question two-sided or one-sided? If one-sided, is it for above or below 0? 7. Ha: 8. Ho:

9. Calculate the unpooled standard error of the sampling distribution of the sample mean difference si s $5,-) + (use 3 decimal places) Steps 3.C. & 4.B.: Use the calculator to obtain the test statistic and its P-value. 10. t = 11. P-value = (use 2 decimal places) (use 4 decimal places) Steps 4.C. & 5: Statistical Decision & Interpretation 12. On the basis of the P-value which of the following is the correct statistical decision regarding the null hypothesis? a Reject the null hypothesis because the P-value is sa b. Fail to reject the null hypothesis because the P-value is a c. Reject the null hypothesis because the P-value is 2 a d. Fail to reject the null hypothesis because the P-value is <a 13. Which of the following is the correct interpretation of the hypothesis test? Based on the samples, there is insufficient evidence to conclude that there is a difference in the mean hours of sleep for college students at Penn State and UC Davis. b. Based on the samples, we can conclude that on average college students at Penn State get significantly more sleep than college students at UC Davis. Based on the samples, we can conclude that on average college students at UC Davis get significantly more sleep than college students at Penn State. a. c.