A machine produces bearings with standard deviation of 0.4mm…
A machine produces bearings with standard deviation of 0.4mm from the calibrated dimension of the inner diameter of a bearing. A quality control manager wants to test whether the machine was well calibrated for producing bearings with inner diameter of 32mm. A sample of 24 randomly chosen bearings has mean 31.8 mm. Assume that the diameter of a randomly chosen bearing is normally distributed. Find the critical region of the test that the quality manager should perform and make a decision whether to reject at the significance level 0.10. One of these may be useful. qnorm(0.10, mean=0, sd=1, lower.tail=FALSE) = 1.281552 qnorm(0.05, mean=0, sd=1, lower.tail=FALSE) = 1.644854qnorm(0.90, mean=0, sd=1, lower.tail=FALSE) = -1.281552 qnorm(0.95, mean=0, sd=1, lower.tail=FALSE) = -1.644854 Which of the following answers is correct in all of its parts?
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