Question

Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing stress will usually differ from the theoretical yielding point. Let p denote the true proportion of samples that yield before their theoretical yielding point. If on the basis of a sample it can be concluded that more than 20% of all specimens yield before the theoretical point, the production process will have to be modified. A button hyperlink to the SALT program that reads: Use SALT. (a) If 12 of 48 specimens yield before the theoretical point, what is the P-value when the appropriate test is used

Answer 1

Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing stress will usually differ from the theoretical yielding point. Let p denote the true proportion of samples that yield before their theoretical yielding point. If on the basis of a sample it can be concluded that more than 20% of all specimens yield before the theoretical point, the production process will have to be modified. A button hyperlinks to the SALT program that reads: Use SALT. (a) If 12 of 48 specimens yield before the theoretical point,  0.3463 is the P-value when the appropriate test is used.

Because the P-value is rather large, He would not be rejected at any reasonable, so the production process will have to be modified.

Variability, almost by definition, is the extent to which data points in a statistical distribution or data set deviate (change) from the mean, and the extent to which those data points differ from each other.

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