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Q3 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 standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Let X is the average lifespan of a brand of tires and a=0.05. (a) State parameter and statistic for the given samples associated with its designated symbol. (b) Write Null hypothesis and Alternative hypothesis for X. (c) Suggest an appropriate test statistic for the claim. Justify your answer. (d) Assuming X distribution is approximately normal. Calculate P-value and sketch the Gaussian distribution for X. (e) Is the data highly inconsistent with the claim for a 95% confidence? Justify your answer. (f) Conclude the hypothesis test for X.

Q3 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 standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Let X is the average lifespan of a brand of tires and a=0.05. (a) State parameter and statistic for the given samples associated with its designated symbol. (b) Write Null hypothesis and Alternative hypothesis for X. (c) Suggest an appropriate test statistic for the claim. Justify your answer. (d) Assuming X distribution is approximately normal. Calculate P-value and sketch the Gaussian distribution for X. (e) Is the data highly inconsistent with the claim for a 95% confidence? Justify your answer. (f) Conclude the hypothesis test for X.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Q3 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 standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Let X is the average lifespan of a brand of tires and a=0.05. (a) State parameter and statistic for the given samples associated with its designated symbol. (b) Write Null hypothesis and Alternative hypothesis for X. (c) Suggest an appropriate test statistic for the claim. Justify your answer. (d) Assuming X distribution is approximately normal. Calculate P-value and sketch the Gaussian distribution for X. (e) Is the data highly inconsistent with the claim for a 95% confidence? Justify your answer. (f) Conclude the hypothesis test for X.
Transcribed Image Text:Q3 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 standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Let X is the average lifespan of a brand of tires and a=0.05. (a) State parameter and statistic for the given samples associated with its designated symbol. (b) Write Null hypothesis and Alternative hypothesis for X. (c) Suggest an appropriate test statistic for the claim. Justify your answer. (d) Assuming X distribution is approximately normal. Calculate P-value and sketch the Gaussian distribution for X. (e) Is the data highly inconsistent with the claim for a 95% confidence? Justify your answer. (f) Conclude the hypothesis test for X.
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