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| 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 --------
 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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