Wednesday
March 4, 2015

Homework Help: INTRO TO STATISTICS HYPOTHESIS TESTING

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:=49600 (claim), Ha:≠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.

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