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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
25.9
6.475
0.595833
ANOVA
Source of Variation
SS
df
MS
F
p-value
Between Groups
23.37321
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
Line A
6
250
41.66667
0.266667
Line B
260
43.33333
0.666667
Line C
249
41.5
0.7
Create a 99 percent confidence interval for difference in means between Line B and Line C
He randomly samples 45 oil wells throughout the United States and determines the mean output to be 10.7 barrels per day with a standard deviation of 1.3 barrels. Test the researcher's claim at the .025 level of significance.
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