SOLUTION: the total of the individual weights of garbage discarded by 62 households in one week have a mean of 27.443 lb. Assume that the standard deviation of the population of all weights 
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Question 755803:  the total of the individual weights of garbage discarded by 62 households in one week have a mean of 27.443 lb. Assume that the standard deviation of the population of all weights is 12.458 lb. use a 0.05 significance level to test the claim that the population of households has a mean less than 30 lb 
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
 the total of the individual weights of garbage discarded by 62 households in one week have a mean of 27.443 lb. Assume that the standard deviation of the population of all weights is 12.458 lb. use a 0.05 significance level to test the claim that the population of households has a mean less than 30 lb
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Ho: u >= 30
Ha: u < 30 (claim)
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x-bar = 27.443
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z(27.443) = (27.443-30)/[12.458/sqrt(62)] = -1.6161
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p-value = P(z < -1.6161) = normalcdf(-100,-1.6161) = 0.0530
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Conclusion: Since the p-value is greater than 5% fail to reject Ho.
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The test results do not support the claim;
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Cheers,
Stan H.
 
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