SOLUTION: An average computer mouse inspector can inspect 45 mice per hour with a population standard deviation of 14 mice per hour. The 44 computer mice inspectors at a particular factory c

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Question 765195: An average computer mouse inspector can inspect 45 mice per hour with a population standard deviation of 14 mice per hour. The 44 computer mice inspectors at a particular factory can only inspect 38 mice per hour. Does the company have reason to believe that these inspectors are slower than average at α = 0.10?
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Answer by stanbon(75887) About Me  (Show Source):
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An average computer mouse inspector can inspect 45 mice per hour with a population standard deviation of 14 mice per hour. The 44 computer mice inspectors at a particular factory can only inspect 38 mice per hour. Does the company have reason to believe that these inspectors are slower than average at α = 0.10?
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Ho: u = 45
Ha: u < 45
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z(38) = (38-45)/[14/sqrt(44)] = -3.3166
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p-value = P(z < -3.3166) = 0.00046
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Conclusion: Since the p-value is less than 10%,reject Ho at the 10% level
of significance.
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Cheers,
Stan H.
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