Question

A study of 40 people found that they could do on the average15 pull ups with a standard deviation of 0.6. Find the 99% confidence interval for the mean of the population.

Answer 1

[14.75, 15.24]

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:

`15-2.58*(0.6)/(√(40))` and
`15+2.58*(0.6)/(√(40))`

[14.75, 15.24]