Final answer:
The average lifetime of a particular brand of tires is claimed to be at least 50,000 miles. A survey was conducted to test this claim, and based on the data, there is evidence to suggest that the mean lifespan of the tires is less than 50,000 miles.
Step-by-step explanation:
The average lifetime of a particular brand of tires is claimed to be at least 50,000 miles with a standard deviation of 8,000. A survey of 28 tires was conducted, and the mean lifespan was found to be 46,500 miles with a standard deviation of 9,800 miles. To determine if the data is highly inconsistent with the claim, we can perform a hypothesis test.
Using alpha 0.05, we can compare the calculated p-value to the significance level. If the p-value is less than 0.05, we reject the null hypothesis and conclude that the data is highly inconsistent with the claim. In this case, the p-value is less than 0.05, so we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the mean lifespan of the tires is less than 50,000 miles.
Keywords: tires, lifetime, average, standard deviation, survey, mean, hypothesis test