Question

Next, you decide to repeat this same procedure to examine salaries among male accountants in your firm. You do not necessarily expect salaries to be larger or smaller than the average. The same large national survey of male accounts found that the average salary was $73,000 with a SD of $9,000. After sampling 60 male accountants in your organization, you find their average salary is $75,000.

9. State the alternative hypothesis

10. State the null hypothesis

11. List the test statistic for your Z-test.

12. Is the difference in salaries between the male national average and your male employees statistically significant?

Answer 1

10)

H0: = 73000 ,

9)

Ha: 73000

11)

Test statistics

z = ( - ) / ( / sqrt(n) )

= ( 75000 - 73000) / (9000 / sqrt(60) )

= 1.72

12)

Critical value at 0.05 significance level = -1.96 , 1.96

Since test statistics falls in non-rejection region, Do not reject H0.

Conclusion - There is no difference in salaries between the male national average and your male employees.