MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Many carmakers recommend that tires are replaced after six years of age. But a survey showed that many car owners ignore that advice and wait longer to replace the tires on their vehicles.
The following data show the age, in years, for 10 vehicles whose tires were recently brought in to the dealer for a tire replacement.
11.2 9.7 10.1 10.0 10.9
7.7 9.9.10.3 10.1 10.6
Based on this sample, compute the descriptive statistics (in years) in parts (a) and (b) and then answer the questions in parts (c) and (d).
(a) mean, median, and mode (in years)
mean
years
median
years
years
mode
(b) range and standard deviation (in years) (Round your answers to four decimal places.)
range
years
years
standard deviation
Z =
(c) Compute the z-score for a set of tires with an age of 7.7 years. (Round your answer to four decimal places.)
Should the age of 7.7 years be considered an outlier in comparison to the other tire ages?
The age of 7.7 years is ---Select--- than three standard deviations away from the mean age, therefore it -Select- be considered an outlier.
(d) Do the ages indicate that car owners are complying with carmaker recommendations? Should the carmakers consider making changes to their recommendations? Would offering incentives to car owners to replace tires
earlier be a possible solution?
The carmaker recommendation of replacing used tires after six years --Select--- being met. The carmakers --Select- consider making changes to their recommendations and --Select--- consider offering incentives to
replace tires earlier.
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Transcribed Image Text:Many carmakers recommend that tires are replaced after six years of age. But a survey showed that many car owners ignore that advice and wait longer to replace the tires on their vehicles. The following data show the age, in years, for 10 vehicles whose tires were recently brought in to the dealer for a tire replacement. 11.2 9.7 10.1 10.0 10.9 7.7 9.9.10.3 10.1 10.6 Based on this sample, compute the descriptive statistics (in years) in parts (a) and (b) and then answer the questions in parts (c) and (d). (a) mean, median, and mode (in years) mean years median years years mode (b) range and standard deviation (in years) (Round your answers to four decimal places.) range years years standard deviation Z = (c) Compute the z-score for a set of tires with an age of 7.7 years. (Round your answer to four decimal places.) Should the age of 7.7 years be considered an outlier in comparison to the other tire ages? The age of 7.7 years is ---Select--- than three standard deviations away from the mean age, therefore it -Select- be considered an outlier. (d) Do the ages indicate that car owners are complying with carmaker recommendations? Should the carmakers consider making changes to their recommendations? Would offering incentives to car owners to replace tires earlier be a possible solution? The carmaker recommendation of replacing used tires after six years --Select--- being met. The carmakers --Select- consider making changes to their recommendations and --Select--- consider offering incentives to replace tires earlier.
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