Answer :
The 95% confidence interval of the mean is therefore (29.75, 32.25).
What is Confidence interval?
Confidence interval refers to an interval such that there is a probability that the value of a parameter lies within that interval.
To find the 95% confidence interval of the mean of the number of pounds that the overweight men were overweight, you can use the following formula:
[tex]mean +/- 1.96 * (standard\ deviation / \sqrt{(sample size))}[/tex]
Substituting the given values into the formula, we get:
[tex]31 +/- 1.96 * (3.8 / \sqrt{(60))}\\\\= 31 +/- 1.96 * (0.63)\\\\= 31 +/- 1.25[/tex]
The 95% confidence interval of the mean is therefore (29.75, 32.25).
This means that we are 95% confident that the true mean of the population is between 29.75 and 32.25 pounds.
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