Question

Two samples are taken with the following sample means, sizes, and standard deviations

x1’=40 x2’=20
n1=60 n2= 69
We want to estimate the difference in population means using a 92% confidence level. What distribution does this require?

Answer 1

The distribution required is the normal distribution.

Step-by-step explanation:

The distribution that is required to estimate the difference in population means using a 92% confidence level is the normal distribution.

When the sample sizes are large and the population standard deviations are unknown, the normal distribution can be used as an approximation to the Student's-t distribution. In this case, the sum of the sample sizes is greater than 30, so we can use the normal approximation.

To estimate the difference in population means with 92% confidence, we can calculate the confidence interval using the sample means, sizes, and standard deviations.