1. The diameter of a ball bearing was measured by 12 inspectors, each using two different kinds of calipers. The results were: 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 α = 0.05.
1. The diameter of a ball bearing was measured by 12 inspectors, each using two different kinds of calipers. The results were: 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 α = 0.05.
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Transcribed Image Text:1.
The diameter of a ball bearing was measured by 12 inspectors, each using two different kinds of
calipers. The results were:
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 a = 0.05.
2. An article in Journal of Strain Analysis (vol. 18, no. 2, 1983)
compares several procedures for predicting the shear strength
for steel plate girders. Data for nine girders in the form of the
ratio of predicted to observed load for two of these procedures,
the Karlsruhe and Lehigh methods, are as follows:
Bridge with steel plate girder design
Girder
Karlsruhe
Lehigh Method
Method
S1/1
1.186
1.061
S2/1
1.151
0.992
S3/1
1.322
1.063
S4/1
1.339
1.062
S5/1
1.200
1.065
S2/1
1.402
1.178
S2/2
1.365
1.037
S2/3
1.537
1.086
S2/4
1.559
1.052
Is there any evidence to support a claim that there is a difference in mean performance between
the two methods? Use a = 0.05.
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