SOLUTION: An average computer mouse inspector can inspect 60 mice per hour. The 48 computer mice inspectors at a particular factory can only inspect 55 mice per hour with a standard deviatio

Question 830444: An average computer mouse inspector can inspect 60 mice per hour. The 48 computer mice inspectors at a particular factory can only inspect 55 mice per hour with a standard deviation of 10. Does the company have reason to believe that these inspectors are slower than average? At a level of significance of a=0.10
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An average computer mouse inspector can inspect 60 mice per hour. The 48 computer mice inspectors at a particular factory can only inspect 55 mice per hour with a standard deviation of 10. Does the company have reason to believe that these inspectors are slower than average? A5727t a level of significance of a=0.10
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Ho: u = 60
Ha: u < 60 (claim)
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t(55) = (55-60)/[10/sqrt(48)] = -3.46
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p-value = P(z < -3.46) = tcdf(-100,-3.46,47) = 0.0005727....
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Since the p-value is less than 10%, reject Ho.
The test results support the claim at the 10% level of significance.
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Cheers,
Stan H.
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