Aparticular 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 29 tires in the survey, the average lifespan was 46,800 miles with a standard deviation of 9800 miles. do the data support the claim at the 5% level? state the distribution to use for the test. (round your standard deviation to two decimal places.)