Question

Asked Aug 8, 2019

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. A tire manufacturer claims that the mean life of a certain type of tire is more than 30,000 miles.

a. State the claim mathematically.

b. State the null and alternative hypothesis.

c. Determine when a type I or type II error occurs for a hypothesis test of the claim.

d. Determine whether the hypothesis test is a left-tailed test, a right-tailed test, or a two-tailed test. Explain your reasoning.

e. How should you interpret a decision that we reject the null hypothesis?

f. How should you interpret a decision that we do not reject the null hypothesis

Step 1

The claim is provided as that the mean, life of a certain type of tire is more than 30,000 miles.

a. The claim, mathematically, can be represented as;

b. The null and the alternative hypotheses are stated as shown below, respectively,

Step 2

c. A type I error will occur if the actual mean life of a certain type of tire is less than or equal to 30,000 miles but the null hypothesis is rejected.

A type II error will occur if the actual mean life of a certain ty...

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