Creating confidence interval for difference in mean

Assignment Help Basic Statistics

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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