A sample of 12 concrete specimens from supplier A were tested for their compressive strength. The results gave an average of 85 MPa and a standard deviation of 4 MPa. From supplier B, 10 specimens were similarly tested and gave an average compressive strength of 81 MPa and a standard deviation of 5 MPa. (a) Using procedures of Hypothesis Testing, can we conclude at the 0.05 level of significance that the compressive strength of concrete from A exceeds that from B by more than 2 MPa? Assume the populations to be approximately normal with equal variances. (b) Is the assumption of equal variances in (a) ustifiable at an a = 0.10?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A sample of 12 concrete specimens from supplier A
were tested for their compressive strength. The results
gave an average of 85 MPa and a standard deviation
of 4 MPa. From supplier B, 10 specimens were
similarly tested and gave an average compressive
strength of 81 MPa and a standard deviation of 5 MPa.
(a) Using procedures of Hypothesis Testing, can we
conclude at the 0.05 level of significance that the
compressive strength of concrete from A
exceeds that from B by more than 2 MPa? Assume the
populations to be approximately normal with
equal variances.
(b) Is the assumption of equal variances in (a)
justifiable at an a = 0.10?
Transcribed Image Text:A sample of 12 concrete specimens from supplier A were tested for their compressive strength. The results gave an average of 85 MPa and a standard deviation of 4 MPa. From supplier B, 10 specimens were similarly tested and gave an average compressive strength of 81 MPa and a standard deviation of 5 MPa. (a) Using procedures of Hypothesis Testing, can we conclude at the 0.05 level of significance that the compressive strength of concrete from A exceeds that from B by more than 2 MPa? Assume the populations to be approximately normal with equal variances. (b) Is the assumption of equal variances in (a) justifiable at an a = 0.10?
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