Question

Use the accompanying data set on the pulse rates​ (in beats per​ minute) of males to complete parts​ (a) and​ (b) below.

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Click the icon to view the pulse rates of males.

a. Find the mean and standard​ deviation, and verify that the pulse rates have a distribution that is roughly normal.

The mean of the pulse rates is

71.871.8

beats per minute.

​(Round to one decimal place as​ needed.)

The standard deviation of the pulse rates is

12.212.2

beats per minute.

​(Round to one decimal place as​ needed.)

Explain why the pulse rates have a distribution that is roughly normal. Choose the correct answer below.

A.

The pulse rates have a distribution that is normal because a histogram of the data set is​ bell-shaped and symmetric.

Your answer is correct.

B.

The pulse rates have a distribution that is normal because the mean of the data set is equal to the median of the data set.

C.

The pulse rates have a distribution that is normal because none of the data points are greater than 2 standard deviations from the mean.

D.

The pulse rates have a distribution that is normal because none of the data points are negative.

b. Treating the unrounded values of the mean and standard deviation as​ parameters, and assuming that male pulse rates are normally​ distributed, find the pulse rate separating the lowest​ 2.5% and the pulse rate separating the highest​ 2.5%. These values could be helpful when physicians try to determine whether pulse rates are significantly low or significantly high.

The pulse rate separating the lowest​ 2.5% is

48.148.1

beats per minute.

​(Round to one decimal place as​ needed.)

The pulse rate separating the highest​ 2.5% is

nothing

beats per minute.

​(Round to one decimal place as​ needed.)

        More

This is the table

79
85
94
76
49
62
51
58
65
60
52
57
76
53
80
78
60
88
87
71
62
64
57
76
36
82
64
68
83
65
75
77
62
65
77
98
60
66
85
81
42
85
73
69
74
84
64
92
87
73
74
90
90
92
69
55
68
90
81
81
75
56
55
78
102
71
66
63
74
94
57
75
74
84
68
74
68
58
58
68
68
61
85
78
67
59
64
76
62
74
101
68
86
72
54
72
53
75
84
71
73
63
66
82
62
61
61
52
80
54
86
61
55
107
79
66
56
88
67
86
63
65
79
106
74
83
85
60
82
66
76
68
78
85
70
83
67
51
84
41
74
66
72
75
67
67
57
62
79
59
82
65
84
77
86
71
89
44
66
79
64
68
84
76
72
59
64
68
71
66
59
53
61
70
80
72
75
72
65
65
57
72
72
82
66
98
73
71
65
52
80
78
83
67
67
69
68
68
55
57
71
78
103
60
100
74
55
66
87
66
74
63
60
94
78
73
55
85
73
75
92
57
79
74
65
56
66
66
55
60
63
55
63
57
64
73
69
58
79
74
72
61
59
95
63
74
61
81
83
74
96
61
74
71
80
83
77
79
69
85
74
84
72
59
71
64
74
80
80
63
82
82
55
81
61
72
78
98
76
72
55
74
67
67
78
74
97
74
64
66
72
63
63
83
76
93
95
88
74
90

Answer 1

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