Question

Refer to the accompanying data set and construct a 90​% confidence interval estimate of the mean pulse rate of adult​ females; then do the same for adult males. Compare the results.

Males Females

82       83

72       94

48       59

57       64

54       56

62       80

53       78

74       86

53       86

63       58

73       35

61       65

65       85

76       76

83       75

65       64

64       68

93       79

41       59

84       63

74       82

64       82

72       68

70       75

57       88

66       91

58       87

82       93

73       89

64       97

66       69

96       92

57       84

65       80

58       73

58       53

68       99

67       73

84       78

56       74

Answer 1

First we need to find the mean and SD of both data sets. Following is the output of descriptive statistics generated by excel:

Descriptive statistics
	Males	Females
count	40	40
mean	66.95	76.00
sample standard deviation	11.87	13.69
sample variance	140.82	187.28
minimum	41	35
maximum	96	99
range	55	64

For male:

For female:

All values of confidence interval for female are above confidence interval of male so we cannot conclude that male and female have same mean pulse rate.