A manufacturer of four-speed clutches for automobiles claims that the clutch will not fail until after 50,000 miles. A random sample of 10 clutches has a mean of 58,750 miles with a standard deviation of 3775 miles. Assume that the population distribution is normal. Does the sample data suggest that the true mean mileage to failure is more than 50,000 miles. Test at the 5% level of significance. What is the value of the hypothesized mean