A 99% confidence interval (in inches) for the mean height of a population is 65.7 < μ < 67.3. This result is based on a sample of size 144.

Construct the 95% confidence interval. (Hint: you will first need to find the sample mean and sample standard deviation).

And the 95% confidence interval would be givne by (65.89; 67.11)

Step-by-step explanation:

For this case we have a 99% confidence interval for the true mean hegiht givne by:

And we can begin finding the mean with this formula:

Now we can estimate the margin of error:

The sample size for this case is then the degrees of freedom are given by:

And then we can find a critical value for a 99% of confidence and 143 degrees of freedom using a significance level of 0.01 and we got:

Then the standard error is given by:

Now we can find the other critical value for 95% of confidence and we got:

And the new confidence interval would be given by:

And the 95% confidence interval would be givne by (65.89; 67.11)

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step-by-step explanation: