Problem 1 Assume that I drew 2 random samples of University of Phoenix students, gave them a statist

Problem 1

Assume that I drew 2 random samples of
University of Phoenix students, gave them a statistics exam, and one group
(men) had a 76 average score and the other group (women) had an average score
of 80. Is it possible that things are not as they seem — that the women
are smarter than the men? (A question like this means that there is a
hypothesis test involved, right?)

Note: the standard deviation of the men’s scores was 8 and the women’s
scores was 6. There were 36 in each sample. Assume a .05 level
of significance.

Problem 2

Listed below is the rate of return for one
year (reported in percent) for a sample of 12 mutual funds that are classified
as taxable money market funds.

4.63 4.15
4.76 4.70 4.65
4.52 4.70 5.06
4.42 4.51 4.24
4.52

Using the .05 significance level, is it
reasonable to conclude that the mean rate of return is more than 4.50%?
Problem 3
Class — read the attached
Chi-Square document as well as Chapter 15 from the text. The following is
a problem that involves a Chi-Square Goodness-of-Fit test involving unequal
frequencies. Show all 5 steps of the test — give it a try!

Steve

The chief of security for the Mall
of the Dakotas was directed to study the problem of missing goods.

He selected a sample of 100 boxes
that had been tampered with and ascertained that for 60 of the boxes,

the missing pants, shoes, and so
on were attributed to shoplifting. For 30 other boxes employees had
stolen

the goods, and for the remaining
10 boxes he blamed poor inventory control.

In his report to the mall
management, can he say that shoplifting is twice as likely to be the cause of
the loss

as compared with either employee
theft or poor inventory control and that employee theft and poor

inventory control are equally
likely? Use the 0.02 level.