Question: A study was performed to determine whether men and women differ in repeatability in assembling components on printed circuit boards. Random samples of 25 men

A study was performed to determine whether men and women differ in repeatability in assembling components on printed circuit boards. Random samples of 25 men and 21 women were selected, and each subject assembled the units. The two sample standard deviations of assembly time were s_men = 0.98 minutes and s_women = 1.02 minutes.

(a) Is there evidence to support the claim that men and women differ in repeatability for this assembly task? Use α = 0.02 and state any necessary assumptions about the underlying distribution of the data.

(b) Find a 98% confidence interval on the ratio of the two variances. Provide an interpretation of the interval.

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