K A consumer organization wants to estimate the actual tread wear index of a brand name of tires that claims "graded 150" on the sidewall of the wear index of 135.8 and a sample standard deviation of 20.2. Complete parts (a) through (c). a. Assuming that the population of tread wear indexes is normally distributed, construct a 99% confidence interval estimate of the population mean tread wear index for tires produced by this ma this brand name. 124.22 sus 147.38 (Round to two decimal places as needed.) b. Do you think that the consumer organization should accuse the manufacturer of producing tires that do not meet the perfomance information on the sidewall of the tire? Explain. O A. Yes, because a grade of 150 is not in the interval. B. Yes, because a grade of 150 is in the interval. OC. No, because a grade of 150 is in the interval. C D. No, because a grade of 150 is not in the interval. c. Explain why an observed tread wear index of 148 for a particular tire is not unusual, even though it is outside the confidence interval developed in (a). OA. It is not unusual because it is only 0.03 standard deviations above the confidence interval. O O B. It is not unusual because it is actually in the confidence interval. O C. It is not unusual because it is just outside the confidence interval. OD. It is not unusual because it is only 0.60 standard deviations above the sample mean.