7- Goodycar Tires claims that their new all-season tires are expected, on average, to last at least 50,000 miles. A random sample of 81 Goodyear tires was tested, and the results showed X = 48980 miles and s=5000 miles. (15%) a. Construct and interpret a 98% confidence interval for the true mean life of the new Goodyear tires. What is the margin of error ME (sampling error SE) of your confidence interval? b. Based on the interval, do you believe the average Goodyear tire lasts more than 50,100 miles?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 5CC: a What is meant by an experiment? Sample space? b What is an event? c Define the probability of an...
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6- 20% of airbags produced by Takata Co. over the past ten years are defective airbags. (6%)
a. What is the sampling distribution of the sample proportion of defective airbags for a random sample of 250 Takata
airbags?
b. What is the probability of the sample containing less than 56 defective airbags?
7- Goodycar Tires claims that their new all-season tires are expected, on average, to last at least 50,000 miles. A
random sample of 81 Goodyear tires was tested, and the results showed X = 48980 miles and s=5000 miles. (15%)
a. Construct and interpret a 98% confidence interval for the true mean life of the new Goodyear tires. What is the
margin of error ME (sampling error SE) of your confidence interval?
b. Based on the interval, do you believe the average Goodyear tire lasts more than 50,100 miles?
Transcribed Image Text:6- 20% of airbags produced by Takata Co. over the past ten years are defective airbags. (6%) a. What is the sampling distribution of the sample proportion of defective airbags for a random sample of 250 Takata airbags? b. What is the probability of the sample containing less than 56 defective airbags? 7- Goodycar Tires claims that their new all-season tires are expected, on average, to last at least 50,000 miles. A random sample of 81 Goodyear tires was tested, and the results showed X = 48980 miles and s=5000 miles. (15%) a. Construct and interpret a 98% confidence interval for the true mean life of the new Goodyear tires. What is the margin of error ME (sampling error SE) of your confidence interval? b. Based on the interval, do you believe the average Goodyear tire lasts more than 50,100 miles?
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