Assume that the populations in the problem all follow normal distributions. (a) The following are the Brinell hardness values obtained for samples of two alloys A and B: A 66.3 63.5 64.9 61.8 64.3 64.7 65.1 64.5 68.4 63.2 B 71.3 60.4 62.6 63.9 68.8 70.1 64.8 68.9 65.8 66.2 Use the 0.05 level of significance to test the null hypothesis that A and B have the same average hardness values against the alternative hypothesis A has a smaller hardness value than B.
Assume that the populations in the problem all follow normal distributions. (a) The following are the Brinell hardness values obtained for samples of two alloys A and B: A 66.3 63.5 64.9 61.8 64.3 64.7 65.1 64.5 68.4 63.2 B 71.3 60.4 62.6 63.9 68.8 70.1 64.8 68.9 65.8 66.2 Use the 0.05 level of significance to test the null hypothesis that A and B have the same average hardness values against the alternative hypothesis A has a smaller hardness value than B.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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
Transcribed Image Text:Assume that the populations in the problem all follow normal distributions.
(a) The following are the Brinell hardness values obtained for samples of two alloys
A and B:
A 66.3 63.5 64.9 61.8 64.3 64.7
64.7 65.1 64.5 68.4 63.2
B 71.3 60.4 62.6 63.9 68.8 70.1 64.8 68.9 65.8 66.2
Use the 0.05 level of significance to test the null hypothesis that A and B have the
same average hardness values against the alternative hypothesis A has a smaller
hardness value than B.
(b) The following are the number of hydraulic pumps which a sample of 10 industrial
machines of Type A and a sample of 8 industrial machines of Type B manufactured
over a certain fixed period of time:
A 8 6 794
B
4 3 6 7 7
11 8
1 9
10 6 9
6
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