Claim: The mean age of cars in an antique car show is greater than 55.9 years. If a hypothesis test is performed to test this claim, how should you interpret a decision that fails to reject the null hypothesis?
Answer:
There is not sufficient evidence to conclude that the mean age of cars in an antique car show is greater than 55.9 years.
Explanation:
For the given test scenario, the null and alternative hypotheses are given as below:
Null hypothesis: H0: The mean age of cars in an antique car show is 55.9 years.
Alternative hypothesis: Ha: The mean age of cars in an antique car show is greater than 55.9 years.
We fail to reject the null hypothesis, so the conclusion for this test is given as below:
There is not sufficient evidence to conclude that the mean age of cars in an antique car show is greater than 55.9 years.
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