Complete the following exercises from "Review Questions" located at the end of each chapter and put them into a Word document to submit to the instructor.

1. Chapter 19, numbers 19.9 and 19.16
2. Chapter 20, numbers 20.5, 20.6, and 20.7

Show all relevant work; use the equation editor in Microsoft Word when necessary.1.Chapter 19, numbers 19.9 and 19.16

19.9 Randomly selected records of 140 convicted criminals reveal that their crimes were committed on the following days of the week:

DAYS WHEN CRIMES WERE COMMITTED

FREQUENCY MON. TUE. WED. THU. FRI. SAT. SUN. Total

Observed(fo) 1723221823.2415 40

(a) Using the .01 level of significance, test the null hypothesis that in the underlying population, crimes are equally likely to be committed on any day of the week.

(b) Specify the approximate p-value for this test result.

(c) How might this result be reported in the literature?

19.16 Test the null hypothesis at the .01 level of significance that the distribution of blood types for college students complies with the proportions described in the blood bank bulletin, namely, .44 for O, .41 for A, .10 for B, and .05 for AB. Now, however, assume that the results are available for a random sample of only 60 students. T

he results are as follows: 27 for O, 26 for A, 4 for B, and 3 for AB. NOTE: The expected frequency for AB, (.05)(60) = 3, is less than 5, the smallest permissible expected frequency. Create a sufficiently large, expected frequency by combining B and AB blood types.

2.Chapter 20, numbers 20.5, 20.6, and 20.7

20.5 A group of high-risk automobile drivers (with three moving violations in one year) are required, according to random assignment, either to attend a traffic school or to perform supervised volunteer work. During the subsequent five-year period, these same drivers were cited for the following number of moving violations:

NUMBER OF MOVING VIOLATIONS

TRAFFIC SCHOOL.VOLUNTEER WORK

026

07

154

9 1

71

014

16

23 10

7

8

(a) Why might the Mann-Whitney U test be preferred to the t test for these data? (

b) Use U to test the null hypothesis at the .05 level of significance

(c) Specify the approximate p-value for this test result.

20.6 A social psychologist wishes to test the assertion that our attitude toward other people tends to reflect our perception of their attitude toward us. A randomly selected member of each of 12 couples who live together is told (in private) that his or her partner has rated that person at the high end of a 0 to 100 scale of trustworthiness. The other member is told (also in private) that his or her partner has rated that person at the low end of the trustworthiness scale. Each person is then asked to estimate, in turn, the trustworthiness of his or her partner, yielding the following results. (According to the original assertion, the people in the trustworthy condition should give higher ratings than should their partners in the untrustworthy condition.)

TRUSTWORTHINESS RATINGS

COUPLE.TRUSTWORTHY (1)UNTRUSTWORTHY

A75 60

B.3530

C5055

D9320

E7412

F.4734

G9522

H6363

I4443

J8879

K5633

L8672

(a) Use T to test the null hypothesis at the .01 level.

(b) Specify the approximate p-value for this test result.

20.7 Does background music influence the scores of college students on a reading comprehension test? Sets of 10 randomly selected students take a reading comprehension test with rock, country-western, or classical music in the background.

The results are as follows (higher scores reflect better comprehension)

READING COMPREHENSION SCORES.