Question

Refer to the accompanying data set and construct a 95​% confidence interval estimate of the mean pulse rate of adult​ females; then do the same for adult males. Compare the results.

Males Females

84       78

71       95

49       56

63       64

53       54

61       82

51       81

75       88

54       89

62       57

69       36

59       65

62       86

78       74

80       75

65       64

65       68

94       77

45       61

86       61

71       82

63       83

74       68

74       71

54       84

68       90

56       87

77       89

71       91

66       91

63       71

93       91

57       80

63       79

56       74

57       56

71       101

69       76

81       78

56       75

Answer 1

Solution:-

Males		Females
Mean	66.65	Mean	75.7
Standard Error	1.835389	Standard Error	2.132231
Median	65	Median	77.5
Mode	71	Mode	91
Standard Deviation	11.60802	Standard Deviation	13.48541
Sample Variance	134.7462	Sample Variance	181.8564
Kurtosis	-0.09654	Kurtosis	0.517674
Skewness	0.488955	Skewness	-0.64522
Range	49	Range	65
Minimum	45	Minimum	36
Maximum	94	Maximum	101
Sum	2666	Sum	3028
Count	40	Count	40

95​% confidence interval estimate of the mean pulse rate of adult​ females is C.I = (71.387, 80.013).

C.I = 75.7 + 2.023 × 2.1322

C.I = 75.7 + 4.31344

C.I = (71.387, 80.013)

95​% confidence interval estimate of the mean pulse rate of adult​ males is C.I = ( 62.937, 70.363).

C.I = 66.65 + 2.023 × 1.8354

C.I = 66.65 + 3.713

C.I = ( 62.937, 70.363)

Since the 95% confidence interval estimate of the mean pulse rate of adult​ males and adult females does not overlap, hence the mean pulse rate of adult​ females and mean pulse rate of adult males is significantly different.