A manufacturing company produces bearings. One line of bearings is specified to be 1.64 centimeters (cm) in diameter. A major customer requires that the variance of the bearings be no more than .001 cm2.The producer is required to test the bearings before they are shipped, and so the diameters of 16 bearings are measured with a precise instrument, resulting in the following values. Assume bearing diameters are normally distributed. Use the data and α = .01 to test to determine whether the population of these bearings is to be rejected because of too high a variance.

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1.691.62 .63 1.70 1.66 1.63 1.65 1.71 1.64169 1.64 1.591.66 3 1.65