Question

→ Heart rates are determined before and 30 minutes after a Kettleball workout. It can be assumed that heart rates (bpm) are normally distributed. Use the data provided below to test to determine if average heart rates prior to the workout are significantly lower than 30 minutes after a Kettleball workout at the 0.02 level of significance. Let mean before workout Show before after 80 82 71 70 60 61 SO 83 79 78 78 83 64 68 73 78 69 Select the correct Hypotheses: H40 H10 HM - HIRSIHOSO H110 HO HM HM HM HM > 0 O o Test Statistic three decimal p-value (three decimal Conclusion: Fail to Reject Ho Reject HO Interpret the conclusion in context: There is not enough evidence to suggest the mean bpen before a Kettleball workout is lower than 30 minutes after the workout 720 TD

Answer 1

The data is, whormotto bino HOLT Before After di=xi-li di? 29 80 82 ei - 2. th tr 4 wt - - 71 70 - 6 ] - 1 80 83 i9 9 - 79 g 78 78 83 237 68 -4 20 21-3 28 73 78 64 69 25 Ed; = - 23 Ed; ² = 107 Now, Ed; Lofourono H 09 da -23 -23 orhoogroint 9 obin Puong it d = -2.56 od mom 3 bal 21Doro Ed;²n d² Sd = n-1 107-9(-2.56)2 =) Sd 22.45 こ I-1

The null and alternative and alternative hypothes is is, Hold > 0 v/s Halldro The test statistic is, sa S T t = nto- sa/vo -2.56 to 2.4. 2.44719 to = -3.13 2 P-value= P[tc-3.13] Sib 0.007 conclusion: Rejeet Ho. Interpretation: There is enough evidence to suggest- the mean bpm before a a kettleball Woncout is lower than 30 minutes after the workout babe ps Scor.s-) e