Posted by **Gweedo8** on Friday, March 19, 2010 at 11:01pm.

Math Horizons is a publication of the Mathematical Association of America. A recent issue reports that in the United States, graduating mathematics majors who also have studied actuarial

science have an average first year income of 49,600. Suppose a random sample of36 recent such graduates in the Denver/Boulder region showed that they were earning an average of

$51,400 with a sample standard deviation of $950. Does the information indicate that thepopulation mean salary is higher than the national ave?

Here is my work thus far:

(a) H0:µ=49600 (claim), Ha:µ≠49600

(b) 51400-49600/(950/√36)=11.368=z

(c) P=6.17 x10-30

(d) R.R. >-2.326

(e) Reject b/c there is enough evidence at a 1% level of significance to support that Denver/Boulder regions is higher than the national average.

- INTRO TO STATISTICS HYPOTHESIS TESTING -
**MathGuru**, Saturday, March 20, 2010 at 9:05am
I would consider this a one-tailed test (state Ha as µ > 49600). When using a "does not equal" with Ha, you are just looking for a difference and the test would be two-tailed (either direction). Your test statistic calculation looks correct. This test statistic would also exceed most commonly used positive critical or cutoff values (positive because Ha is one-tailed in that direction). Therefore, Ho would be rejected in favor of Ha as you concluded in e).

## Answer this Question

## Related Questions

- math - 65 men 75 women are enfolled in calculus. There are 30 business majors, ...
- Statistics - Use the 5-step hypothesis testing framework to answer the ...
- Social Science - people have the right to refuse treatments in the United States...
- social studies - Which of the following statements about the natural resources ...
- Math - 4 accounting majors, 2 economics majors and 3 marketing majors have an ...
- science - Okay, I was not thinking. I correlate my hypothesis with the materials...
- 5th - But most rafters take a chance with the United States "wet-foot, dry-foot...
- statistics - There are 44 mathematics major and 163 computer science majors at ...
- statistics - At a certain college, there were 400 science majors, 100 ...
- statistics - at a certain college, there were 700 science majors,100 engineering...