# Mathematics

AT 510 HOMEWORK 5 WEEK 6 QUIZ

Instructions For each country code you will answer the following questions:

In this assignment you will create control charts for the following data for each country code.

1. Compute the average cycle time for each country code.

2. Compute the moving range for each country code.

3. Compute the confidence interval for each using the average cycle time plus or minus the product of 2.66 times the average moving range for each country code.

4. Turn in the spreadsheet with calculations.

5. Does the OTR time appear to be stable? Why or why not?

6. If you were to use a control chart to evaluate stability, which chart would you use? Why?

7. What can you learn about the distribution of the installation process?

8. Does it appear that the country has an impact on installation time? Why or why not?

Use the excel template provided by the instructor and use this along with the instructional video to solve for each response per country code.

Once done, you will use the responses in the template which you generate to respond to the questions asked for each country code.

Always remember to reach out to the instructor and attend all available live sessions as needed.

Once done with this assignment you should have a strong understanding of how we obtain averages, upper and lower confidence limits,

and equivalent measures of the average moving range to create the control charts. These will help you visualize where common cause variation exists or special cause variation is present.

Question 1

1. What is the average for country code 1?

17.8

51.9

4.7

99.1

1 points

Question 2

1. What is the average for country code 5?

65.3

9.3

40.6

90.0

1 points

Question 3

1. What is the average for country code 6?

12.9

81.6

47.4

91

1 points

Question 4

1. What is the average for country code 7?

90.9

6.8

15.8

48.8

1 points

Question 5

1. What is the average for country code 8?

1.6

45.2

14.3

76

1 points

Question 6

1. What is the average for country code 14?

56.8

51.9

10.5

14.3

1 points

Question 7

1. What is the average for country code 17?

37.1

56.8

10.5

65.1

1 points

Question 8

1. What is the average moving range for country code 1?

17.8

9.3

12.9

9.2

1 points

Question 9

1. What is the average moving range for country code 5?

11.6

15.8

12.9

9.3

1 points

Question 10

1. What is the average moving range for country code 6?

12.9

40.6

13.2

4.7

1 points

Question 11

1. What is the average moving range for country code 7?

13.5

14.7

15.8

6.8

1 points

Question 12

1. What is the average moving range for country code 8?

40.6

11.6

16.6

15.2

1 points

Question 13

1. What is the average moving range for country code 14?

22.5

15.8

17.3

14.7

1 points

Question 14

1. What is the average moving range for country code 17?

17.1

6.8

10.5

15.0

1 points

Question 15

1. What is the confidence interval using a critical value (2.66) for country code 1?

(4.7, 99.1)

4.7, 99.1

99.1, 4.7

(99.1, 4.7)

1 points

Question 16

1. What is the confidence interval using a critical value (2.66) for country code 5?

40.6, 90

(40.6, 90.0)

90, 40.6

(90.0, 40.6)

1 points

Question 17

1. What is the confidence interval using a critical value (2.66) for country code 6?

81.6, 13.2

(13.2, 81.6)

(81.6, 12.3)

13.2, 81.6

1 points

Question 18

1. What is the confidence interval using a critical value (2.66) for country code 7?

90.9, 6.8

(90.9, 6.8)

(6.8, 90.9)

6.8, 90.9

1 points

Question 19

1. What is the confidence interval using a critical value (2.66) for country code 8?

(14.3. 76.0)

14.3, 76.0

(76.0, 14.3)

76.0, 14.3

1 points

Question 20

1. What is the confidence interval using a critical value (2.66) for country code 14?

(0, 116.7)

-3.1, 117

(-3.1, 116.7)

116.7, 0

1 points

Question 21

1. What is the confidence interval using a critical value (2.66) for country code 17?

65.2

(9.2, 65.1)

(65.2, 9.1)

9.0, 52.6

1 points

Question 22

1. Choose the best answer: Which of the country codes seems to show the presence of special cause variation?

Country codes: 1, 8 & 14

None

All

5, 6, & 14