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In a Manufacturing Facility Producing Fasteners, a Foreman Suspects That

question 103

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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. 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.   At α = .05, can we conclude that his suspicion is correct? A)  Reject the null hypothesis, the diameter is greater for first shift versus second shift. B)  Do not reject the null hypothesis; there is no evidence that the diameters differ by shift. At α = .05, can we conclude that his suspicion is correct?


Definitions:

Semiannual

Happening every six months or twice annually.

Par Value

The nominal or face value of a bond, share of stock, or another security, as stated by the issuer.

Interest Expense

The cost incurred by an entity for borrowed funds, represented as interest payments on debt.

Premium on Bonds

The amount by which the selling or market price of a bond exceeds its face value or par value.

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