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

Algebra ->  Probability-and-statistics -> 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       Log On


   



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) About Me  (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
---------
Ho: u >= 30
Ha: u < 30 (claim)
-----
x-bar = 27.443
-----
z(27.443) = (27.443-30)/[12.458/sqrt(62)] = -1.6161
----
p-value = P(z < -1.6161) = normalcdf(-100,-1.6161) = 0.0530
-----
Conclusion: Since the p-value is greater than 5% fail to reject Ho.
----
The test results do not support the claim;
====================
Cheers,
Stan H.