Question

Please show equations used and calculations for each problem

Problem 5 A question of medical importance is whether jogging leads to reduction in one's pulse rate. To test this hypothesis, eight non-jogging volunteers have agreed to begin a one-month jogging program. At the end of the month their pulse rates were determined and compared with their earlier values. Subject 1 2 3 4 5 6 7 8 Pulse rate before program 74 86 98 102 78 84 79 70 Pulse rate after program 70 85 90 107 71 80 69 74 (a) State the hypotheses. (b) Calculate the test statistic, state the degrees of freedom and approximate the p- value. (c) Would you reject Hi or fail to reject Ho at 5% level of significance? (d) What do you conclude about the effect of jogging for one month on pulse rate?

Answer 1

Ans Subject di-xi-yi Pulse rate before prograrom pulse rate after program 74 86 98 102 78 84 70 85 go 107 80 69 79 70 25. ay o The hypothesis is, Ho Jogging leads to reduction in one's H : Jogging doesn't leads to reduction pulse rate. je Ho: ud =0 uls Hi : ud & O. pulse rate in one's vils I The d = ld - 25 - 3.125. stout. 5 - Jvarcd ) = V26.109375 -5.1097 test statistic is, b) The t=aud N tnot. s rñ. t = 8.125-0 5.1097 - 3.195 -107298 1,8065 Jg -. The value of & Table value t-statistic - 1-#298. tn-l - t8-1=t7 +2.364619

AL &X=0.05; Calculated value :. Accept Ho. .. we Fail to reject < table Value Ho. at 5% d.o.s. . As Ho is accepted we Jogging leads to reduction je- effect o ť logging for rate is occured conclude that, in one's pulse rate one month on pulse