# Calculations for Statistics Problems

Use the following Scenario to answer questions 1 - 3.

1. 800 employees of OxCo Mfg. were surveyed to evaluate the company's pension plan. The table below displays some of the results of the survey.

Rating of Pension Plan

Years employed Excellent Good Fair Poor Row Total

Under 10 yrs 24 91 82 43 240

10 to 25 yrs 44 163 145 48 400

25 yrs or more 21 62 53 24 160

Column total 80 320 280 120 800

5.28 chi-square

(shaded)df

2. The expected frequency for 163 in the table would be:

a. 163

b. 158

c. 165

d. none of these

3. Degrees of freedom for this test (shaded cell below the table) would be.

a. 6

b. 7

c. 799

d. 12

4. We would reject H0 at:

a. alpha =.10

b. alpha =.05

c. alpha =.01

d. none of these

5. The critical value in a chi-square goodness-of-fit test depends on the

a. number of categories of the variables.

b. variance of the data.

c. normality of the data.

d. all of the above

6. For a chi-square test, a 4x3 contingency table will have degrees of freedom of

a. 12.

b. 8

c. 9

d. 6

7. We sometimes combine two categories in a chi-square test if the

a. observed frequencies are less than 15.

b. observed frequencies are more than 5.

c. expected frequencies are less than 5.

d. expected frequencies are more than 5.

8. Three coins are tossed 160 times apiece. The distribution obtained is

Number of Heads 0 1 2 3

Observed 10 65 71 14

9. Three coins are tossed 160 times apiece. The distribution obtained is

Under the null hypothesis of a uniform distribution, the expected number of times we would get 0 heads is 10.

a. 10

b. 20

c. 30

d. 40

#### Solution Summary

This solution provides step by step calculations for various statistics questions.