A physical therapist wanted to estimate the difference in the average pulse of m

Question

A physical therapist wanted to estimate the difference in the average pulse of men and women after stepping up and down on a 6-inch platform for 3 minutes. She randomly selected 51 men and 70 women to participate in the study. The pulse of each subject (in beats per minute) was recorded immediately after completing the stepping activity. Summary statistics (in beats per minute) are given below. Use this information to construct a 90% confidence interval for the difference in population means, (women - men).

sample mean, sample st. dev

Women           118.3, 14.2

Men 112.3, 11.3

Explanation / Answer

t-value for 90% CI = 1.660

lower limit = (118.3-112.3) - 1.660*2.32 = 2.1488

upper limit = (118.3-112.3) + 1.660*2.32 = 9.8512

x1(bar) 118.3 x2(bar) 112.3 s1 14.2 s2 11.3 n1 70 n2 51 SE = sqrt[ (s12/n1) + (s22/n2) ] (s12/n1) 2.8806 (s22/n2) 2.5037 SE 2.32 DF = (s12/n1 + s22/n2)2 / { [ (s12 / n1)2 / (n1 - 1) ] + [ (s22 / n2)2 / (n2 - 1) ] } [ (s12 / n1)2 / (n1 - 1) ] 0.120256 [ (s22 / n2)2 / (n2 - 1) ] 0.125373 (s12/n1 + s22/n2)2 28.990653 DF = 118

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