Week Four Problems Complete the following problems from the textbook and submit them as a Word file. When appropriate, you may use either Excel or Megastat to complete (see tutorials in chapter...

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Week Four Problems
Complete the following problems from the textbook and submit them as a Word file. When appropriate, you may use either Excel or Megastat to complete (see tutorials in chapter appendices).








Dis 1 - Linear Correlation (1 paragraph, 250 words)
Do you think there is a correlation between CEO salaries and the degree of success of a company? If you were to take a sample of companies with comparable size, market capitalization, and product category, and plot CEO salaries against the net profit of their respective companies, do you expect to find a linear correlation between the two? Explain.
Dis 2 – Quality Control (1 paragraph, 250 words)
Visit the websites on Quality Control (QC) listed in the Required Websites for this week.
ASQ - http://asq.org/index.html
Quality Control Tools - http://qbx6.ltu.edu/anneberg/quality%20control%20tools%20synopsis.htm
In addition, locate an article on the Internet or in the Library databases that describes an example of the use of statistics in Quality Control. In your post, briefly define Quality Control and explain its importance. Also, describe some of the most widely used tools in the industry for measuring and controlling quality, emphasizing their relationship to what you have encountered in this class. Finally, explain the example from your article of statistics as applied in a Quality Control context.


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Week Four Problems Complete the following problems from the textbook and submit them as a Word file. When appropriate, you may use either Excel or Megastat to complete (see tutorials in chapter appendices). Dis 1 - Linear Correlation (1 paragraph, 250 words) Do you think there is a correlation between CEO salaries and the degree of success of a company? If you were to take a sample of companies with comparable size, market capitalization, and product category, and plot CEO salaries against the net profit of their respective companies, do you expect to find a linear correlation between the two? Explain. Dis 2 – Quality Control (1 paragraph, 250 words) Visit the websites on Quality Control (QC) listed in the Required Websites for this week. ASQ -  HYPERLINK "http://asq.org/index.html" http://asq.org/index.html Quality Control Tools -  HYPERLINK "http://qbx6.ltu.edu/anneberg/quality%20control%20tools%20synopsis.htm" http://qbx6.ltu.edu/anneberg/quality%20control%20tools%20synopsis.htm In addition, locate an article on the Internet or in the Library databases that describes an example of the use of statistics in Quality Control. In your post, briefly define Quality Control and explain its importance. Also, describe some of the most widely used tools in the industry for measuring and controlling quality, emphasizing their relationship to what you have encountered in this class. Finally, explain the example from your article of statistics as applied in a Quality Control context.



Answered Same DayDec 22, 2021

Answer To: Week Four Problems Complete the following problems from the textbook and submit them as a Word file....

Robert answered on Dec 22 2021
122 Votes
Week Four Problems
Complete the following problems from the textbook and submit them as a Word file. When appropriate, you may use either Excel or Megastat to complete (see tutoria
ls in chapter appendices).
Solution:
a) Null Hypothesis H0: μ≤42
Alternative Hypothesis H1: μ>42
b) We find the test statistics
Z = (X-bar - µ)/ (σ/√n)
= (42.954 – 42)/ (2.64/√65)
= 0.954/0.3275
= 2.91
As it is a right tailed test, critical value at
Z (0.10) = 1.282, Z-statistics > 1.282 reject Ho
Z (0.05) = 1.645, Z-statistics > 1.645, reject Ho
Z (0.01) = 2.33, Z-statistics > 2.33, reject Ho
Z (0.001) = 3.09, Z-statistics < 3.09, fail to reject Ho
c) Using Z-tables
P [Z > 2.91] = 1 – 0.9982
= 0.0018
P-value < a = 0.10, reject Ho
P-value < a = 0.05, reject Ho
P-value < a = 0.01, reject Ho
P-value > a = 0.001, fail to reject Ho
At 10%, 5%, 1%, level of significance, there is sufficient evidence to reject the null hypothesis.
We can conclude that the mean composite satisfaction rating exceeds 42.
Answer:
Z-test is used under the following conditions:-
1) When population standard deviation is known.
2) When sample size is large.
t-test is used under the following conditions:-
1) When population standard deviation is unknown.
2) When sample size is small (less than 30).
MEGASTAT OUTPUT
Chi-square Contingency Table Test for Independence
France Germany U.K. Total

Straight line
15
0
25
40
Declining B 1
1
1
3
D & S
10
25
0
35
Total
26
26
26
78
50.89
chi-square
4
df
2.35E-10
p-value
Since the p- value is less than 0.05), we have sufficient evidence to reject Ho and accept Ha.
We can conclude that the depreciation method is not independent of country.
Solution:
a) For a χ2...
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