a. Using a 10% significance level, will you conclude that the machine should be stopped to make necessary adjustments? We conclude that the percentage of defective bearings is Choose your answer; We conclude that the percentage of defective bearings is (Not higher than/Higher than) 0.06, and the machine Choose your answer; and the machine (Should Not/Should) be stopped to make necessary adjustments. b. Perform the test of part a using a 1% significance level. Is your decision different from the one in part a? We Choose your answer; We (Fail to reject/ Reject) H0. The result Choose your answer; The result (Differs from the/ Is the same as)the answer in part a.

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a. Using a 10% significance level, will you conclude that the machine should be stopped to make necessary adjustments?

We conclude that the percentage of defective bearings is Choose your answer; We conclude that the percentage of defective bearings is (Not higher than/Higher than) 0.06, and the machine Choose your answer; and the machine (Should Not/Should) be stopped to make necessary adjustments.

b. Perform the test of part a using a 1% significance level. Is your decision different from the one in part a?

We Choose your answer; We (Fail to reject/ Reject) H0. The result Choose your answer; The result (Differs from the/ Is the same as)the answer in part a.

Shulman Steel Corporation makes bearings that are supplied to other companies. One of the machines makes bearings that are
supposed to have a diameter of 4 inches. The bearings that have a diameter of either more or less than 4 inches are considered
defective and are discarded. When working properly, the machine does not produce more than 6% of bearings that are defective. The
quality control inspector selects a sample of 200 bearings each week and inspects them for the size of their diameters. Using the
sample proportion, the quality control inspector tests the null hypothesis p < 0.06 against the alternative hypothesis p > 0.06,
where p is the proportion of bearings that are defective. He always uses a 10% significance level. If the null hypothesis is rejected, the
machine is stopped to make any necessary adjustments. One sample of 200 bearings taken recently contained 24 defective bearings.
Transcribed Image Text:Shulman Steel Corporation makes bearings that are supplied to other companies. One of the machines makes bearings that are supposed to have a diameter of 4 inches. The bearings that have a diameter of either more or less than 4 inches are considered defective and are discarded. When working properly, the machine does not produce more than 6% of bearings that are defective. The quality control inspector selects a sample of 200 bearings each week and inspects them for the size of their diameters. Using the sample proportion, the quality control inspector tests the null hypothesis p < 0.06 against the alternative hypothesis p > 0.06, where p is the proportion of bearings that are defective. He always uses a 10% significance level. If the null hypothesis is rejected, the machine is stopped to make any necessary adjustments. One sample of 200 bearings taken recently contained 24 defective bearings.
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