Height(inches) Weight(pounds) Age 74 180 22.99 74 215 34.69 72 210 30.78 72 210
ID: 3364642 • Letter: H
Question
Height(inches)
Weight(pounds)
Age
74
180
22.99
74
215
34.69
72
210
30.78
72
210
35.43
73
188
35.71
69
176
29.39
69
209
30.77
71
200
35.07
76
231
30.19
71
180
27.05
73
188
23.88
73
180
26.96
74
185
23.29
74
160
26.11
69
180
27.55
70
185
34.27
72
197
30
73
189
27.99
75
185
22.38
78
219
22.89
79
230
25.76
76
205
36.33
74
230
31.17
76
195
32.31
72
180
31.03
71
192
29.26
75
225
29.47
77
203
32.46
74
195
35.67
73
182
25.89
74
188
26.55
78
200
24.17
73
180
26.69
75
200
25.13
73
200
27.9
75
245
30.17
75
240
31.36
74
215
30.99
69
185
32.24
71
175
27.61
74
199
28.2
73
200
28.85
73
215
24.21
76
200
22.02
74
205
24.97
74
206
26.78
70
186
32.51
72
188
30.95
77
220
33.09
74
210
32.74
70
195
30.69
76
244
36.51
75
195
26.03
73
200
23.45
75
200
24.94
76
212
24.09
76
224
35.23
78
210
27.43
74
205
30.6
74
220
27.94
76
195
29.99
77
200
25.17
81
260
24.13
78
228
30.46
75
270
25.96
77
200
22.55
75
210
26.29
76
190
24.79
74
220
31.74
72
180
23.92
72
205
25.33
75
210
24.02
73
220
23.7
73
211
31.59
73
200
29.95
70
180
23.64
70
190
32.33
70
170
23.13
76
230
26.6
68
155
26.46
71
185
25.75
72
185
27.51
75
200
25.11
75
225
32.51
75
225
34.67
75
220
31.06
68
160
29.1
74
205
28.66
78
235
28.35
71
250
33.77
73
210
30.89
76
190
37.74
74
160
24.14
74
200
25.71
79
205
24.41
75
222
24.32
73
195
28.09
76
205
33.31
74
220
36.4
The heights (in) and weights (lbs) of Major League baseball players are shown in the attachment. Find the mean and standard deviations for the data set. Compute a 95% confidence interval for the mean BMI of a player. A BMI score over 30 is considered obese. Does the confidence interval indicate that the mean for BMI could be in the obese range?
Height(inches)
Weight(pounds)
Age
74
180
22.99
74
215
34.69
72
210
30.78
72
210
35.43
73
188
35.71
69
176
29.39
69
209
30.77
71
200
35.07
76
231
30.19
71
180
27.05
73
188
23.88
73
180
26.96
74
185
23.29
74
160
26.11
69
180
27.55
70
185
34.27
72
197
30
73
189
27.99
75
185
22.38
78
219
22.89
79
230
25.76
76
205
36.33
74
230
31.17
76
195
32.31
72
180
31.03
71
192
29.26
75
225
29.47
77
203
32.46
74
195
35.67
73
182
25.89
74
188
26.55
78
200
24.17
73
180
26.69
75
200
25.13
73
200
27.9
75
245
30.17
75
240
31.36
74
215
30.99
69
185
32.24
71
175
27.61
74
199
28.2
73
200
28.85
73
215
24.21
76
200
22.02
74
205
24.97
74
206
26.78
70
186
32.51
72
188
30.95
77
220
33.09
74
210
32.74
70
195
30.69
76
244
36.51
75
195
26.03
73
200
23.45
75
200
24.94
76
212
24.09
76
224
35.23
78
210
27.43
74
205
30.6
74
220
27.94
76
195
29.99
77
200
25.17
81
260
24.13
78
228
30.46
75
270
25.96
77
200
22.55
75
210
26.29
76
190
24.79
74
220
31.74
72
180
23.92
72
205
25.33
75
210
24.02
73
220
23.7
73
211
31.59
73
200
29.95
70
180
23.64
70
190
32.33
70
170
23.13
76
230
26.6
68
155
26.46
71
185
25.75
72
185
27.51
75
200
25.11
75
225
32.51
75
225
34.67
75
220
31.06
68
160
29.1
74
205
28.66
78
235
28.35
71
250
33.77
73
210
30.89
76
190
37.74
74
160
24.14
74
200
25.71
79
205
24.41
75
222
24.32
73
195
28.09
76
205
33.31
74
220
36.4
Explanation / Answer
The mean heights (in inches) = 73.83 and standard deviation of heights = 2.56.
The mean weights (in lbs) = 202.90 and standard deviation of weights = 21.25.
The formula for BMI when heights are measured in inches and weights are measured in lbs = weight / height^2 * 703.
Then, the mean BMI = 26.16 and standard deviation = 2.32 from the dataset with n = 99.
Then 95% confidence interval (C.I.) for BMI is as follows:
( 26.16 - 1.96*2.32 / sqrt(99), 26.16 + 1.96*2.32 / sqrt(99) )
= ( 25.70, 26.62 )
The 95% CI does not contain the BMI score 30, so the mean BMI score is not in the obese range.
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