Question: A production line for a popular soft drink operates with a mean filling weight of 16 ounces

per container. Overfilling or underfilling presents a serious problem and, when detected,

requires the operator to shut down the production line in order to readjust the filling

mechanism. From historical data, a population standard deviation of 0.8 ounces is assumed

for the individual containers. A quality control inspector selects a sample of 36 items at

regular intervals. Afterward, this individual makes the decision of whether or not to shut

down the line for readjustment. Suppose that a particular selection of 36 containers results

in a sample mean of 16.32 ounces. The company uses a level of significance of 0.05.

1. Formulate the appropriate null and alternative hypotheses.

(b) Provide the critical value(s) and clearly present the rejection and nonrejection regions.
.

1. Compute the value of the appropriate test statistic.

(d) Combine your results in (b) and (c) to make a decision. I’d like you to provide

a graphic representation of your results. Also, state specifically what your

decision is. Provide the mathematical reason for making this decision.

(e) At the 5% level of significance, what is your conclusion about the need to

readjust?

1. Calculate the p-value(s). Make the appropriate comparison. Then, make a decision.

Price: $2.99

Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document