Question: Three assembly lines are used to produce a certain component for an airline. To examine the product rate, a random sample of six hourly periods

Three assembly lines are used to produce a certain component for an airline. To examine the product rate, a random sample of six hourly periods is chosen for each assembly line and the number of components produced during these periods for each line is recorded. The output from a statistical software package is:

Summary

Groups

Count

Sum

Average

Variance

Line A

6

250

41.66667

0.666667

Line B

6

260

43.33333

0.666667

Line C

6

249

41.5

0.7

ANOVA

Source of Variation

SS

DF

MS

F

P-value

Between groups

12.33333

2

6.166667

11.32653

0.001005

Within groups

8.166667

15

0.544444

Total

20.5

17

a. Use a .01 level of significance to test if there is a difference in the mean production of the three assembly lines.

b. Develop a 99% confidence interval for the difference in the means between Line B and Line C.

Class is: EC315 Quantitative Research Methods

Book: Basic Statistics for Business & Economics

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