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5 Step Hypothesis Test

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Here are heart rates for a sample of 30 students before and after a class break. At alpha =.05, was there a significant diffeence in the mean heart rate?
(a) State the hypotheses.
(b) State the decision rule and sketch it.
(c) Find the test statistic
(d) Make a decision.
(e) Find the p-value and interpret it.

Hear Rate Before and After Class Break
Student Before After
1 60 62
2 70 76
3 77 78
4 80 83
5 82 82
6 82 83
7 41 66
8 65 63
9 58 60
10 50 54
11 82 93
12 56 55
13 71 67
14 67 68
15 66 75
16 70 64
17 69 66
18 64 69
19 70 73
20 59 58
21 62 65
22 66 68
23 81 77
24 56 57
25 64 62
26 78 79
27 75 74
28 66 67
29 59 63
30 98 82

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The solution provides step-by-step method of performing a 5-step hypothesis test. All the steps of hypothesis testing (formulation of null and alternate hypotheses, selection of significance level, choosing the appropriate test-statistic, decision rule, calculation of test-statistic and conclusion) have been explained and the statistical analysis has been shown in details.

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  • MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
  • BSc, Banaras Hindu University
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