Question

A random sample of 172 marketing students was asked to​ rate, on a scale from 1​ (not important) to 5​ (extremely important), health benefits as a job characteristic. The sample mean rating was 4.06​, and the sample standard deviation was 0.6. Test at the 1​% significance level the null hypothesis that the population mean rating is at most 4 against the alternative that it is larger than 4.

What are the null and alternative hypotheses for this​ test?

For this test at the significance level $\alpha$ with sample mean $\bar{x}$ , hypothesized mean $\mu _{0}$ , sample standard deviation​ s, and sample size​ n, what is the form of the decision ​rule?

Determine the​ value(s) for $-t_{n-1,\sigma }, t_{n-1, \sigma }, OR +or - t_{n-1,\sigma /2}$ as appropriate for this test.

(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)

Calculate the decision statistic.

$\frac{\bar{x} - \mu _{0}}{s/\sqrt{n}}$   ​(Round to three decimal places as​ needed.)

State the conclusion of this test.

__________ the null hypothesis. There _________ sufficient evidence that the population mean is greater than 4 .

Answer 1