Campbellsville University Engineering Discussion

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fcbbegul

Engineering

Campbellsville University

Description

Activity 10 - Problems from the Text: CLO 5, CLO 6

Provide complete solutions to the problems posted under Appendix # 4 in this syllabus. Note you must show details of each step of your work towards final answers.

Appendix # 4

Problems from the Text: Required for Activity 10 in Week 12

1.Perform a Chi-Square test on the following data:

a.Regulation is the best way to ensure safe products.

b.Ownership of residence

2. A sales force received some management-by-objectives training. Conduct a test of hypothesis to determine if the mean salespeople’s job performance score has significantly improved after the training at the 0.05 level. The results from a sample of employees are as follows:

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Explanation & Answer

Please view explanation and answer below.Assignment completed

Running Head: Engineering Discussion

1

Student name
Affiliation Institute
Date of submission

Engineering Discussion

2

Question 1: Perform a chi-square test on the following
a. Regulation is the best way to ensure safe products.
Agree

Disagree

No Opinion

Managers

58

66

8

Line Employees

34

24

10

Total

92

90

28

Solution:
To conduct a chi-square test, we shall have to test the following
𝐻0 = 𝑇ℎ𝑒𝑟𝑒 𝑖𝑠 𝑛𝑜 𝑎𝑠𝑠𝑜𝑐𝑖𝑎𝑡𝑖𝑜𝑛 𝑏𝑒𝑡𝑤𝑒𝑒𝑛 𝑡ℎ𝑒 𝑡𝑦𝑝𝑒 𝑜𝑓 𝑗𝑜𝑏 𝑎𝑛𝑑 𝑎𝑔𝑟𝑒𝑒𝑚𝑒𝑛𝑡
𝐻1 = 𝑇ℎ𝑒𝑟𝑒 𝑖𝑠 𝑎𝑛 𝑎𝑠𝑠𝑜𝑐𝑖𝑎𝑡𝑖𝑜𝑛
This will be achieved through
𝑒𝑥𝑝𝑖𝑗 =

𝑟𝑜𝑤𝑖 × 𝑐𝑜𝑙𝑢𝑚𝑛𝑗
𝑡𝑜𝑡𝑎𝑙

(Westfall, 2013)
Eij will be the cell of the i-nth row while j-th column and the total will be the grand total of all
the observations. Hence the following will be the achieved expected freque...

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