Question

The production line at the Heinz ketchup factory is calibrated to fill bottles of ketchup with no more than 24 ounces of ketchup in each bottle. We certainly do not want ketchup to spill onto the assembly line equipment; that would create a mess.

In order to test how well our machinery is working, a sample of 70 bottles are randomly selected from a days production of filled ketchup bottles and the contents of each bottle are measured. The sample reveled a mean of 24.1 ounces per bottle, with a sample standard deviation of 0.3 ounces.

Use an α = .05.

A. Provide the appropriate hypothesis test criteria:

HO: μ ≥ ≤ = HA: μ < > ≠

B. Using the data from the sample, answer the five fill-in-the-blank questions, and make the correct hypothesis test conclusion.

Reject Ho if the test statistic of		is	> <	the critical value of
Reject Ho if the p-value of		is	<	the value of α of

Based on these results, we should:

• Reject Ho

• Accept Ho

C. Should Heinz shut down the production line?

This question will be sent to your instructor for grading.

Answer 1

We want to test that the production line at the Heinz ketchup factory is calibrated to fill bottles of ketchup with no more than 24 ounces of ketchup in each bottle.

u :- Population mean amount of ketchup in each bottle.

x:-  ketchup amount in each bottle

We have to test

Ho:- Population mean amount of ketchup in each bottle is less than or equal to 24 ounces

vs

H1:- Population mean amount of ketchup in each bottle is greater than 24 ounces.

C)

Yes

As we have concluded that the mean is more than 24. Heinz has to shut down production.