A group of students collect data to assess the strength of evidence that the pro

Question

A group of students collect data to assess the strength of evidence that the process mean diameter of holes drilled in a miniature metal part differs from the industry specification of 0.5 mm. Suppose that the test statistic given by the sample is -1.84. (a) Find the p-value. (Round your answer to 4 decimal places.) (b) Does the sample provide evidence that the mean diameter differs from 0.5 mm? (a) 0.9328; (b) No (a) 0.9342; (b) Yes (a) 0.0336; (b) Yes (a) 0.0329; (b) No (a) 0.9671; (b) Yes (a) 0.0658; (b) No (a) 0.9664; (b) Yes (a) 0.0658; (b) Yes (a) 0.0672; (b) No (a) 0.9664; (b) No

Explanation / Answer

a) This is a two - tailed test and hence,

p - Value = 2*P(z < -1.84) = 2*0.0329 = 0.0658

Level of significance is not given so assuming it to be 0.05, we do not reject Ho and hence, the answer is:

a) 0.0658; b) No

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