3:07 PM Tue Dec 13 ... 54% webassign.net A the interval with higher confidence is wider (margin of error is larger) the interval with higher confidence is narrower (margin or error is smaller) Viewing Saved Work Revert to Last Response 8. [-/16 Points] DETAILS MY NOTES ASK YOUR TEACHER 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 population standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. Of the 26 tires surveyed, the mean lifespan was 45,700 miles . Using alpha = 0.05, is the data highly consistent with the claim? 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.) Part (a) State the null hypothesis. O Ho: H 2 50,000 O Ho: M # 50,000 O HO: H p-value, we reject the null hypothesis. Since a p-value, we do not reject the null hypothesis. iv) Conclusion: There is sufficient evidence to conclude that the average life span of the tires is less than 50,000. There is not sufficient evidence to conclude that the average life span of the tires is less than 50,000. Part (i) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your lower and upper bounds to the nearest whole number.) 95% C.I