A running shoe company claims their shoe will withstand an average lifetime dist

Question

A running shoe company claims their shoe will withstand an average lifetime distance of 600 miles. For quality assurance purposes they randomly sample 45 shoes and test their wear through simulation. If the sample provides evidence the entire batch has a mean below 600 miles, they will need to further investigate the batch of shoes. Otherwise, they will prepare them for market.

The sample yielded an average of 581.31 miles. They know the population of all wear lifetimes varies 50 miles, on average (this is the population standard deviation).

Is there evidence that they will need to further investigate the batch of shoes? Use a significance level of 0.05.

a) State each condition for the test.

b) Why is the condition met (or not met)?

How would accidentally performing a z procedure instead of a t procedure affect the following values in this problem? (Assume ?-0.05) Fill in the blank for each statement using the drop down menus. a) The test statistic will increase b) The critical value wil increase c) The p-value will decrease d) The margin of error will decrease el The chance of making a Type l Error will decrease

Explanation / Answer

a) Correct answer: No Change

b) Correct answer: Increase

c) Correct answer:   Decrease

d) Correct answer: Increase

e) Correct answer: Increase

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