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The diameter of a ball bearing was measured by 12 inspectors, each using two different kinds of calipers. The results are as follows:
Inspector
Caliper 1
Caliper 2
1
0.265
0.264
2
0.265
0.265
3
0.266
0.264
4
0.267
0.266
5
0.267
0.267
6
0.265
0.268
7
0.267
0.264
8
0.267
0.265
9
0.265
0.265
10
0.268
0.267
11
0.268
0.268
12
0.265
0.269
Is there a significant difference between the means of the population of measurements from which the two samples were selected? Use 0.05
Find the ‐value for the test in part (a).
Construct a 95 percent confidence interval on the difference in mean diameter measurements for the two types of calipers.
Sagot :
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