# Testing of Hypothesis

Chapter 10, Exercise 22, page 343

Given the following hypothesis:

A random sample of six resulted in the following values: 118, 105, 112, 119, 105, and 111. Using the .05 significance level, can we conclude the mean is different from 100?

a. State the decision rule.

b. Compute the value of the test statistic.

c. What is your decision regarding the null hypothesis?

d. Estimate the p-value.

Chapter 12, Exercise 28, page 414

The personnel director of Cander Machine Products is investigating "perfectionism" on the job. A test designed to measure perfectionism was administered to a random sample of 18 employees. The scores ranged from 20 to about 40. One of the facets of the study involved the early background of each employee. Did the employee come from a rural background, a small city, or a large city? The scores are:

Rural Small Large

35 28 24

30 24 28

36 25 26

38 30 30

29 32 34

34 28

31

a. At the .05 level, can it be concluded that there is a difference in the three mean scores?

b. If the null hypothesis is rejected, can you state that

Chapter 12, Exercise 36, page 417

There are four McBurger restaurants in the Columbus, Georgia, area. The numbers of burgers sold at the respective restaurants for each of the last six weeks are shown below. At the .05 significance level, is there a difference in the mean number sold among the four restaurants, when the factor of week is considered?

Restaurant

Week Metro Interstate University River

1 124 160 320 190

2 234 220 340 230

3 430 290 290 240

4 105 245 310 170

5 240 205 280 180

6 310 260 270 205

a. Is there a difference in the treatment means?

b. Is there a difference in the block means?

Chapter 15, Exercise 8, page 529

The safety director of Honda USA took samples at random from the file of minor work-related accidents and classified them according to the time the accident took place.

6

6

20

8

7

8

19

6

a.Using the goodness-of-fit test and the .01 level of significance, determine whether the accidents are evenly distributed throughout the day. Write a brief explanation of your conclusion.

Chapter 15, Exercise 14, page 538

Four brands of light bulbs are being considered for use in the final assembly area of the Saturn plant in Spring Hill, Tennessee. The director of purchasing asked for samples of 100 from each manufacturer. The numbers of acceptable and unacceptable bulbs from each manufacturer are shown below. At the .05 significance level, is there a difference in the quality of the bulbs?

Manufacturer

A B C D

Unaccept 12 8 5 11

Acceptable 88 92 95 89

100 100 100 100

Chapter 16, Exercise 26, page 572

Far West University offers both day and evening classes in business administration. One question in a survey of students inquires how they perceive the prestige associated with certain careers. Each student was asked to rank the careers from 1 to 8, with 1 having the most prestige and 8 the least prestige. The results were:

Day Evening

6 3

7 2

2 6

5 4

1 7

4 8

3 5

8 1

a. Find Spearman's coefficient of rank correlation

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#### Solution Summary

The details of different types testing of hypothesis problems are included in the solution. The questions are related to one sample t test, independent sample t test, ANOVA, chi-square test. calculation of rank correlation is also done.