The following are the Brinell hardness values obtained for thesamples of two mag

Question

The following are the Brinell hardness values obtained for thesamples of two magnesium alloys:

Alloy 1
Alloy 2
66.3 71.3 63.5 60.4
64.9 62.6 61.8 63.9 64.3 68.8 64.7 70.1 65.1 64.8 64.5 68.9 68.4 65.8 63.2 66.2
Assuming the measurement system has a normal distribution, test thetwo-sided test of hypothesis for:

a) H0: 12 =22 at = 0.05

b) H0: 1 - 2 = 1%at = 0.05

c) Suppose it is known that the differences rather than theindividual measurement are of importance (That is D = Alloy 2 -Alloy 1, that is: D = 2 -1), then let:

H0: D = 3
H1: D < 3

Test the hypothesis. Will you reject or not reject the nullhypothesis at = 0.05? Alloy 1
Alloy 2
66.3 71.3 63.5 60.4
64.9 62.6 61.8 63.9 64.3 68.8 64.7 70.1 65.1 64.8 64.5 68.9 68.4 65.8 63.2 66.2

Explanation / Answer

a) t*=-1.3 p-value=.215 (do not reject) not sure what 1% means in part b) c)use regular t-test on column found by subtractingcolumn a from column b t*=-1.299 p=.113 Do not reject hope this helps!

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