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A physician wants to develop criteria for determining whether a​ patient's pulse rate is​ atypical, and she wants to determine whether there are significant differences between males and females. Use the sample pulse rates below.

Male    Female
96    72
64    88
72    104
64    72
84    64
60    88
76    84
76    96
76    96
68    124

a.  Construct a 95​% confidence interval estimate of the mean pulse rate for males.
b.  Construct a 95​% confidence interval estimate of the mean pulse rate for females.
c. Compare the preceding results. Can we conclude that the population means for
males and females are​ different?