A consumer organization wants to estimate the actual tread wear index of a brand name of tires that claims "graded 200" on the sidewall of the tire. À random sample of n= 17 indicates a sample mean tread wear index of 193.7 and a sample standard deviation of 24.6. Complete parts (a) through (c). a. Assuming that the population of tread wear indexes is normally distributed, construct a 90% confidence interval estimate of the population mean tread wear index for tires produced by this manufacturer under this brand name. 183.28 Sus 204.12 (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 200 is not in the interval. B. No, because a grade of 200 is in the interval. O C. Yes, because a grade of 200 is in the interval. O D. No, because a grade of 200 is not in the interval, C. Explain why an observed tread wear index of 206 for a particular tire is not unusual, even though it is outside the confidence interval developed in (a). O A. It is not unusual because it is only 0.08 standard deviations above the confidence interval. O B. It is not unusual because it is just outside the confidence interval. O C. It is not unusual because it is actually in the confidence interval. O D. It is not unusual because it is only 0.50 standard deviations above the sample mean.
A consumer organization wants to estimate the actual tread wear index of a brand name of tires that claims "graded 200" on the sidewall of the tire. À random sample of n= 17 indicates a sample mean tread wear index of 193.7 and a sample standard deviation of 24.6. Complete parts (a) through (c). a. Assuming that the population of tread wear indexes is normally distributed, construct a 90% confidence interval estimate of the population mean tread wear index for tires produced by this manufacturer under this brand name. 183.28 Sus 204.12 (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 200 is not in the interval. B. No, because a grade of 200 is in the interval. O C. Yes, because a grade of 200 is in the interval. O D. No, because a grade of 200 is not in the interval, C. Explain why an observed tread wear index of 206 for a particular tire is not unusual, even though it is outside the confidence interval developed in (a). O A. It is not unusual because it is only 0.08 standard deviations above the confidence interval. O B. It is not unusual because it is just outside the confidence interval. O C. It is not unusual because it is actually in the confidence interval. O D. It is not unusual because it is only 0.50 standard deviations above the sample mean.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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