Answer:
[14.75, 15.24]
Step-by-step explanation:
Sample mean = 15
Sample standard deviation = 0.6
Number of samples = 40
The t value for 99% confidence interval (t - critical value table) is 2.58
Now to find the 99% confidence interval for the mean of the population, we will do the following:
[tex]15-2.58\times\frac{0.6}{\sqrt{40}}[/tex] and [tex]15+2.58\times\frac{0.6}{\sqrt{40}}[/tex]
[14.75, 15.24]