Question: Example: A researcher suggests that male nurses earn more than female nurses. A survey of 16 male nurses and 20 female nurses reports these data. Is there enough evidence to support the claim that male nurses earn more than female nurses? Use α = 0.01.

Females Males

\[{{\overline{X}}_{1}}\] = $23,750 \[{{\overline{X}}_{2}}\] = $23,900

\[{{s}_{1}}\] = $250 \[{{s}_{2}}\] = $300

\[{{n}_{1}}\] = 20 \[{{n}_{2}}\] = 16

a. State the null and alternative hypothesis.

b. Compute the test value.

c. Find critical value(s).

d. Find p-value and

e. Make a decision to reject or not reject the null hypothesis. Justify your decision by using classical and p-value approaches

f. Make a conclusion