A Machine Has Been Designed to Make Nails Which Are

question 61

Multiple Choice

A machine has been designed to make nails which are 8cm long with a standard deviation of 0.15cm. A sample of 48 nails is selected periodically to assess if the length is too variable from the standard of 8cm. From the sample of 48 nails, the mean is found to be 7.983cm. Assume the lengths are normally distributed.
-The null and alternative hypotheses to test the nail length is _____.

• A)H₀ :µ ? 8 H_a :µ = 8
• B)H₀ :µ ? 7.983 H_a :µ > 7.983
• C)H₀ :µ ? 8 H_a :µ > 8
• D)H₀ :µ ? 8 H_a :µ < 8
• E)H₀ :µ = 8 H_a :µ ? 8

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