Question

You may need to use the appropriate appendix table or technology to answer this question. In this exercise involving paired differences, consider that it is reasonable to assume the populations being compared have approximately the same shape and that the distribution of paired differences is approximately symmetric. A sample of 10 men was used in a study to test the effects of a relaxant on the time required to fall asleep. Suppose data for 10 subjects showing the number of minutes required to fall asleep with and without the relaxant follow. Relaxant Subject No Yes 15 11 13 10 21 11 8 11 10 8 8 10 11 8 15 10 9 10 Use a 0.05 level of significance to determine whether the relaxant reduces the median time required to fall asleep. State the null and alternative hypotheses. O Ha: Median time without relaxant Median time with relaxant>0 H,: Median time without relaxant-Median time with relaxant Ho: Median time without relaxant Median time with relaxant 0 H: Median time without relaxant - Median time with relaxant > 0 H, : Median time without relaxant-Median time with relaxant 2 0 H.: Median time without relaxant Median time with relaxant < 0 。H, : Median time without relaxant-Median time with relaxant # 0 H. : Median time without relaxant-Median time with relaxant = 0 Ho: Median time without relaxant - Median time with relaxant0 : Median time without relaxant-Median time with relaxant # 0 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value - What is your conclusion? Reject Ho. There is not sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep Reject Ho. There is sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep. Do not reject Ho. There is not sufficient evidence to conclude that the relaxant reduces the median time required to fall asleep. Do not reject Ho. There is sufficient evidence to conclude that the relaxant reduces the median time required to fall asleerp.

Answer 1

Ansuoer fvorm given dala Subjeet | Reloxant No1 YES 1151 13 10 긔 Nultl hypothtsis He Mediarfirne LoMhoutrelaxant 3 5 D AHernatehypothesis H Mediantime ottout relanant - 10 Median time relatant > 15o option lo -t-statistic ni (cu2 -statistic 1.70242 toe reject nal hypotbesis Ho' Henee toe bave Sufficicot evidenee to con elude -4bat CS Scanned with CamScanner