In a manufacturing facility producing fasteners,a foreman suspects that the diameter of the bolt produced by his first shift workers is greater than the diameter of the bolts produced by his second shift workers.He takes a sample of 5 bolts from the first shift and a sample of 4 bolts from the second shift and measures the diameters in inches.Below are the results from 5 first shift and 4 second shift observations.Distribution of bolt diameter measurements is not normally distributed. At = .05,can we conclude that his suspicion is correct? A)Reject the null hypothesis,diameter is greater for 1^st shift versus 2^nd shift B)Fail to reject the null hypothesis,no evidence that the diameters differ by shift

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Failed to reject H₀.No,his suspicion is not correct.H₀: D₁ and D₂ are identical probability distributions.orH₀: µ_D1 F1F1F1S1F1F1F10 µ_D2H_A: D₁ is shifted to the right of D₂orH_A: µ_D1 > µ_D2Reject H₀ if T F1F1F1S1F1F1F10 T_LT_L= T_.05,5,4 = 12 T₁ = 5 + 8 + 3 + 7 + 6 = 29T₂ = 1 + 2 + 9 + 4 = 16T = min (29,16)= 1616 > 12,we failed to reject H₀.It appears that the diameter of the bolt is not larger in the first shift.

In a Manufacturing Facility Producing Fasteners,a Foreman Suspects That the Diameter