Confidence Interval: The Comparison of the Mean BMI of Men and Women
In the Topic 1 Assignment, you compared the BMI values from Data Set 1 (in the appendix of the textbook) from a perspective of measuring the center and variation of the data. Chapters 5 and 6 in the textbook allow you to use more sophisticated tools to estimate the parameters of a population.
Refer to Data Set 1 in Appendix B and use the sample data with Excel and/or SPSS to accomplish the following:
Construct a 99% confidence interval estimate of the mean body mass index for men.
Construct a 99% confidence interval estimate of the mean body mass index for women.
Compare and interpret the results. It is known that men have a mean weight that is greater than the mean weight for women, and the mean height of men is greater than the mean height of women. Do men also have a mean body mass index that is greater than the mean body mass index of women?
Confidence Interval
Author Name
University Name
Part 1
BMI
Counts
30
Average
25.640
The Standard Deviations
6.266
The Variance
38.114
Minimum Value
17.8
Maximum Value
44.8
Average Range
27.4
Confidence Interval 99 Percent Lower
23.200
Confidence Interval 99 Percent Upper
28.280
The Width
2.540
The Interval Width
4
From this table, it is evident that the 99 percent confidence interval for the mean body mass index for men is 28.280 as the upper value and 23.200 as the lower value.
Part 2
BMI
Counts
40
Average
25.898
The Standard Deviations
3.331
The Variance
11.870
Minimum Value
19.7
Maximum Value
33.3