Creating confidence interval for difference in mean

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Reference no: EM1318651

Q1) There are 4 auto body shops in Bangor, Maine, and all claim to promptly serve customers. To check if there is any difference in service, customers are arbitrarily chosen from each repair shop and their waiting times in days are recorded. Output from a statistical software package is:

Summary

Groups

Count

Sum

Average

Variance

Body Shop A

3

15.4

5.133

0.323333

Body Shop B

4

32

8

1.43333

Body Shop C

5

25.2

5.04

0.748

Body Shop D

4

25.9

6.475

0.595833

 

ANOVA

Source of Variation

SS

df

MS

F

p-value

Between Groups

23.37321

3

7.791069

9.612506

0.001632

Within Groups

9.726167

12

0.810514

 

 

Total

33.09938

15

 

 

 

Is there evidence to suggest difference in mean waiting times at the four body shops? Use.05 significance level.

Q2) Three assembly lines are used to make a certain component for an airliner. To study production rate, a random sample of six hourly periods is selected for each assembly line and the number of components produced in these periods for each line is recorded. Output from a statistical software package is

Summary

Groups

Count

Sum

Average

Variance

Line A

6

250

41.66667

0.266667

Line B

6

260

43.33333

0.666667

Line C

6

249

41.5

0.7

Create a 99 percent confidence interval for difference in means between Line B and Line C

Reference no: EM1318651

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