The production line at the Heinz ketchup factory is calibrated to fill bottles of ketchup with...

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

In order to test how well our machinery is working, a sample of70 bottles are randomly selected from a days production of filledketchup bottles and the contents of each bottle are measured. Thesample reveled a mean of 24.1 ounces per bottle, with a samplestandard 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 fivefill-in-the-blank questions, and make the correct hypothesis testconclusion.

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?

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We want to test that the production line at the Heinz ketchupfactory is calibrated to fill bottles of    See Answer
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