HW Problem 41. (5 pts) A manufacturing company produces bearings. One line of bearings is specified to be 1.64 cm in diameter. A major customer requires that the variance of the bearing diameter be no more than .001 cm. The producer is required to test the consistency of the bearings before they are shipped and if the variance exceeds .001 cm, the customer rejects them. For the latest production run the producer randomly samples 16 bearings. This results in a sample mean diameter of 1.6475 cm with a sample standard deviation of .0380 cm. At the .01 level of significance, is there enough evidence to conclude that the customer would reject the shipment of bearings? List and clearly label all eight steps. 1. H0: 2 2. 2 = ( n1 ) s 2 2 Ha: 2 3. a = .01 4. Since this is a two-tail 2-test, we have to identify two 2 factors. From Slide 15: 2 2 2 Left Tail: 1 - /2, n - 1 = 1 - .05/2, 12 - 1 = 975, 11 = 3.8157 2 2 2 Right Tail: /2, n - 1 = .05/2, 12 - 1 = .025, 11 = 21.9200 Decision Rule: Decision Rule: 5. 2 = ; n= 6. 2 = ( n1 ) s 2 2 Reject the Null Hypothesis if Z <1.6449 n - 1 =; s= = 7. Accept or Reject Null Hypothesis 8. At .01 level of significance, there is sufficient/ insufficient evidence