Construct a 99% confidence interval estimate of the mean body mass index for men
ID: 3132983 • Letter: C
Question
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?
Male Results using Excel: Confidence Level(99.0%) 1.468902108 Upper Limit CI: 27.46640211 Lower Limit CI: 24.52859789
Women: Confidence Level(99.0%) 2.639842344 Upper Limit CI: 28.37984234 Lower Limit CI: 23.10015766
What does this mean regarding data means about BMI variations between women and men?
Explanation / Answer
i will use the excel results which you have provided in giving the answers.
Problem : Construct a 99% confidence interval estimate of the mean body mass index for men.
Answer : Confidence Interval, CI = (24.52859789, 27.46640211)
Although it is a good practice to report only a few digits after the decimal, so rounding up will be a good idea.
CI = (24.53,27.47)
Problem : Construct a 99% confidence interval estimate of the mean body mass index for women.
Answer : Confidence Interval = (23.10,28.38)
Problem : 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?
Answer : There is 99% chance that the mean of body mass index for men lies in between 24.53 and 27.47. There is 99% chance that mean of the body mass index of women lies in between 23.10 and 28.38.
Since these cofidence intervals overlap , we cannot conclude that mean body mass index of me is greater than that of women.
Problem : What does this mean regarding data means about BMI variations between women and men?
Answer : There is more variation in case of women as compared to men which is evidet by the fact that margin of error is greater in women(2.64) than in men(1.47).
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