A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8000. A survey of owners of that tire design is conducted. Of the 26 tires in the survey, the average lifespan was 46,900 miles with a standard deviation of 9800 miles. Do the data support the claim at the 5% level?

Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

What is the p-value? (Round your answer to four decimal places.)

Explain what the p-value means for this problem.

-If H0 is true, then there is a chance equal to the p-value that the average life span of a tire is 46,900 miles or less.

-If H0 is false, then there is a chance equal to the p-value that the average life span of a tire is not 46,900 miles or less.

-If H0 is true, then there is a chance equal to the p-value that the average life span of a tire is not 46,900 miles or less.

-If H0 is false, then there is a chance equal to the p-value that the average life span of a tire is 46,900 miles or less.