Question

A manufacturing process produces bags of cookies The weights of these bags are known to be Normally distributed and should have a mean of μ = 15.0 ounces with a standard deviation of σ = 0.4 ounces. In order to monitor the process, four bags are selected periodically and their average weight (x¯¯) is computed. What is the parameter of interest?

Answer 1

The parameter of interest is average weight of the bags of cookies sampled.

Explanation:

Sampling is done to compare sample average weight against the known average weight. (μ = 15.0 ounces) and to check if the manufacturing process produces bags as expected.

Then A hypothesis test can be done to test if average weight μ is 15.0 ounces by assuming null and alternative hypotheses at a significance level.

As a result, the purpose is to make an estimation about the average weight of the bags produced in the manufacturing process.