Question 755261: I need some help please.
The Nero Match Company sells matchboxes that are supposed to have an average
of 40 matches per box with σ = 9 . A random sample of 94 Nero matchboxes
shows the average number of matches per box to be 43.1. At a 1% level of
significance, can you say that the average number of matches per box is more than 40?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The Nero Match Company sells matchboxes that are supposed to have an average
of 40 matches per box with σ = 9 . A random sample of 94 Nero matchboxes
shows the average number of matches per box to be 43.1. At a 1% level of
significance, can you say that the average number of matches per box is more than 40?
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Ho: u = 40
Ha: u > 40
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z(43.1) = (43.1-40)/[9/sqrt(04)] = 3.3395
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p-value = P(z > 3.3395) = normalcdf(3.3395,100) = 0.000419
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Since the p-value is less than 1%, reject Ho at the 1%
level of significance.
Conclusion: The test results do not support saying the mean number is 40.
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Cheers,
Stan H.
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