Chapter 8, Problem 13PT

To determine

To find: The confidence interval for population mean and interpret it.

Answer to Problem 13PT

The sample size is 35.

Explanation of Solution

Given:

The data set is:

5370
4890
5100
4500
5260
5150
4900
4760
4700
4870

Formula used:

The formula to compute the confidence interval is:

  $\overline{x}-t_{\frac{\alpha }{2}}\times \frac{s}{\sqrt{n}}<\mu <\overline{x}+t_{\frac{\alpha }{2}}\times \frac{s}{\sqrt{n}}$

Calculation:

The confidence interval using Ti-83 calculator could be computed as:

  

Thus, the confidence interval is (4794.4, 5105.6)

Interpretation:

There is 90% probability that the population mean is between 4794.4 and 5105.6.