Question
In: Statistics and Probability
The body mass index (BMI) for a sample of men and a sample of women are...
The body mass index (BMI) for a sample of men and a sample of women are given below. Assume the samples are simple random samples obtained from populations with normal distributions. Men 30.930.9 22.322.3 29.929.9 30.930.9 27.227.2 31.731.7 26.526.5 20.220.2 26.626.6 30.530.5 Women nbspWomen 18.218.2 20.720.7 22.222.2 28.428.4 17.117.1 20.320.3 23.923.9 31.831.8 20.820.8 20.720.7 LOADING... Click the icon to view the table of Chi-Square critical values. a. Construct aa 9090% confidence interval estimate of the standard deviation of BMIs for men. nothingless than
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Expert Solution
We have asked to construct a 90% confidence interval for the population standard deviation of BMI for men.
The random sample of 
men is given and
using that data we find the sample standard deviation of BMI for
men, and then using that we'll construct the 90% confidence
interval for the population standard deviation of BMI for men.
|
BMI for men |
 |
 |
| 30.9 | 3.23 | 10.4329 |
| 22.3 | -5.37 | 28.8369 |
| 29.9 | 2.23 | 4.9729 |
| 30.9 | 3.23 | 10.4329 |
| 27.2 | -0.47 | 0.2209 |
| 31.7 | 4.03 | 16.2409 |
| 26.5 | -1.17 | 1.3689 |
| 20.2 | -7.47 | 55.8009 |
| 26.6 | -1.07 | 1.1449 |
| 30.5 | 2.83 | 8.0089 |
|
|
sample standard deviation of mens BMI is-
Formula to calculate the confidence interval for standard
deviation 
is-
Critical value:
So, the 90% confidence interval for the population standard
deviation for mens BMI is calculated as (2.8504,
6.4296) Or 
orchestra answered 1 year agoRelated Solutions
The body mass index for a sample of men and a sample of women are given...
The body mass index for a sample of men and a sample of women
are given below. assume the samples are simple random samples
obtained form populations with normal distributions.
Men: 24.9, 28.4, 23.2, 32.8, 25.3, 32.9, 28.1, 28.6, 32.9,
26.4
Women: 19.6, 23.7, 18.2, 34.5, 19.3, 24.3, 18.8, 33.8, 18.7,
24.1
A. construct a 90% confidence interval estimate of the standard
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BMI-M
BMI-F
Mean
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Mean
25.74
Standard Error
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Standard Error
0.974862
Median
26.2
Median
23.9
Mode
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Mode
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Standard Deviation
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___to___ ________
95%
___to____
_________
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____to____
__________
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