Question

In a manufacturing facility producing fasteners, a foreman suspects that the diameter of the bolts 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 five bolts from the first-shift and a sample of four bolts from the second-shift and measures the diameters in inches. Below are the results from five first-shift and four second-shift observations. The bolt diameter measurements are not normally distributed.
Bolt Diameter (inches)
1st shift 2nd shift
2.01 1.80
2.25 1.95
1.98 2.30
2.05 2.00
2.03
At = .05, can we conclude that his suspicion is correct?
A. Reject the null hypothesis, the diameter is greater for 1st shift versus 2nd shift.
B. Do not reject the null hypothesis, there is no evidence that the diameters differ by shift.

Answer

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