Question

A manufacturer of rechargeable laptop batteries markets its batteries as having, on

Answer 1

Answer with explanation:-

Let $\mu$ be the population mean.

By considering the given information , we have

$H_0:\mu=500\\\\H_a:\mu\neq500$, since the alternative hypothesis is two tailed , so the test is two tail test.

Given : Sample size : n=30

Sample mean : $\overline{x}=497$

Then, Standard deviation : $\sigma=10$

The p-value = 0.1111, the null hypothesis is not rejected.

Thus , we conclude that we have evidence to accept the company's claim that the batteries have on  average 500 charges.