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Answer to Question #44756 in Statistics and Probability for Omoruyi

Question #44756
A road construction company tests the strength of the roads by testing 10km stretches which are core drilled. Compression strength of 12.5MPa is acceptable specification with a standard deviation of 1.625MPa. A sample of 50 stretches were tested and the mean of the sample was 11.5MPa.
a. Set the acceptable criteria for the road strength plan. If a one tailed limit α = 0.05 is used.
b. Should the section of 50 sections tested be accepted?
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