Statement of a problem № m40320


A repair shop believes that people travel more than 3500 miles between oil changes. A random sample of 8 cars getting an oil change has a mean distance of 3375 miles since having an oil change with a standard deviation of 225 miles. At α = 0.05, do you have enough evidence to support the shop’s claim? (a) Identify the claim and state H0 and Ha, (b) Use technology to find the P-value, (c) Decide whether to reject or fail to reject the null hypothesis, (d) Interpret the decision in the context of the original claim. Assume the population is normally distributed.

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