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Null and Alternate Hypothesis : key information

6. The manufacturer of a particular all-season tire claims that the tires last for 22,000 miles. After purchasing the tires you discover that yours did not last the full 22,000 miles. Suppose that a sample of 100 tires made by that manufactures lasted on average 21,819 miles with a sample standard deviation of 1,295 miles. Is there sufficient evidence to refute the manufacturer's claim that the tires last 22,000 miles? Let α = 0.05. Assume that the population standard deviation is σ= 1300.

State the null hypothesis.

State the alternate hypothesis.

What is the appropriate rejection region?

Compute the test statistic.

What is the final conclusion? Explain.
(Question also in attachment below)