# To test (H_{0}: mu=80) versus (H_{1}: mu <80), a simple random sample of size (n=22) is obtained

## Question:

To test \(H_{0}: \mu=80\) versus \(H_{1}: \mu<80\), a simple random sample of size \(n=22\) is obtained from a population that is known to be normally distributed.

**(a)** If \(\bar{x}=76.9\) and \(s=8.5\), compute the test statistic.

**(b)** If the researcher decides to test this hypothesis at the \(\alpha=0.02\) level of significance, determine the critical value.

**(c)** Draw a \(t\)-distribution that depicts the critical region.

**(d)** Will the researcher reject the null hypothesis? Why?

Fantastic news! We've Found the answer you've been seeking!

## Step by Step Answer:

**Related Book For**

## Statistics Informed Decisions Using Data

**ISBN:** 9781292157115

5th Global Edition

**Authors:** Michael Sullivan