Blood Pressure Divide the individuals into subgroups of six males and six females. Find the
The sample mean of six males and six females.
To compare: The resultswith the population means.
Answer to Problem 13CQ
The sample mean of male blood pressure is 144.33 and the sample mean of female blood pressure is 144.66.
The sample mean of male blood pressure is greater than the population mean of male blood pressure and also sample mean of female blood pressure is greater than the population mean of female blood pressure.
Explanation of Solution
Given info:
The blood pressure data for 100 individuals are listed.
Calculation:
Answers will vary. One of the possible answers is given below:
Divide the data into two groups according to males and females.
Group1 (Males):
ID | Blood Pressure |
2 | 120 |
4 | 129 |
7 | 131 |
8 | 163 |
11 | 148 |
14 | 142 |
15 | 156 |
16 | 135 |
19 | 122 |
21 | 122 |
22 | 119 |
25 | 118 |
26 | 118 |
27 | 120 |
31 | 131 |
32 | 151 |
33 | 148 |
36 | 129 |
37 | 138 |
39 | 156 |
43 | 141 |
46 | 136 |
48 | 116 |
49 | 132 |
50 | 135 |
53 | 117 |
54 | 121 |
55 | 130 |
58 | 136 |
59 | 119 |
60 | 123 |
63 | 115 |
65 | 158 |
68 | 142 |
70 | 128 |
71 | 125 |
75 | 131 |
76 | 118 |
77 | 116 |
79 | 123 |
80 | 127 |
84 | 129 |
85 | 121 |
86 | 115 |
89 | 120 |
90 | 123 |
93 | 127 |
94 | 142 |
97 | 163 |
100 | 129 |
Group2 (females):
ID | Blood pressure |
1 | 126 |
3 | 128 |
5 | 119 |
6 | 136 |
9 | 132 |
10 | 138 |
12 | 115 |
13 | 149 |
17 | 156 |
18 | 153 |
20 | 142 |
23 | 135 |
24 | 133 |
28 | 118 |
29 | 120 |
30 | 132 |
34 | 142 |
35 | 131 |
38 | 130 |
40 | 126 |
41 | 114 |
42 | 116 |
44 | 110 |
45 | 113 |
47 | 152 |
51 | 141 |
52 | 121 |
56 | 118 |
57 | 115 |
61 | 117 |
62 | 121 |
64 | 141 |
66 | 117 |
67 | 120 |
69 | 123 |
72 | 128 |
73 | 135 |
74 | 143 |
78 | 120 |
81 | 116 |
82 | 123 |
83 | 131 |
87 | 133 |
88 | 138 |
91 | 133 |
92 | 120 |
95 | 111 |
96 | 142 |
98 | 151 |
99 | 147 |
Select any six males from group 1 and six females from group 2 at random.
Male subgroup1:
ID Number | Gender | Blood pressure |
8 | M | 163 |
11 | M | 148 |
14 | M | 142 |
15 | M | 156 |
16 | M | 135 |
19 | M | 122 |
Female subgroup2:
ID Number | F | Blood pressure |
13 | F | 149 |
17 | F | 156 |
18 | F | 153 |
20 | F | 142 |
23 | F | 135 |
24 | F | 133 |
The sample mean of male blood pressure is,
The population mean of male blood pressure is,
The sample mean of female blood pressure is,
The population mean of male blood pressure is
Comparison of means:
The sample mean of male blood pressure is 144.33 and the population mean of male blood pressure is131.08, the sample mean of female blood pressure is 144.66 and the population mean of female blood pressure is 129.42.
By comparing of means it is clear that there is a larger difference between the sample mean and the population mean of blood pressure of males. Also there is a larger difference between the sample mean and the population mean of blood pressure of females.
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