Question 285475: The health of employees is monitored by periodically weighing them in. A sample of 54
employees has a mean weight of 175.2 lb. Assuming that is known to be 121.2 lb, use a
0.10 significance level to test the claim that the population mean of all such employees
weights is less than 200 lb.
Perform a hypothesis test
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The health of employees is monitored by periodically weighing them in.
A sample of 54 employees has a mean weight of 175.2 lb.
Assuming that �� is known to be 121.2 lb, use a
0.10 significance level to test the claim that the population mean of all such employees weights is less than 200 lb.
Perform a hypothesis test
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Ho: u >= 200
Ha: u < 200 (claim)
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sample mean = 175.2; sample standard deviation = 121.2
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test statistic: t(175.2) = (175.2-200)/[121.2/sqrt(54)] = -1.5036..
p-value: P(t<-1.5036 with df= 53) = tcdf(-10,-1,5036,53) = 0.0693
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Conclusion: Since the p-value is less than 10% reject Ho.
The test results support the claim.
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Cheers,
Stan H.
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