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The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However, records indicate that the mean time 16.6 minutes, and the standard deviation is 4.9 minutes. Complete parts (a) through (c). (a) To compute probabilities regarding the sample mean using the normal model, what size sample would be required? O A. Any sample size could be used. O B. The sample size needs to be greater than or equal to 30. O C. The normal model cannot be used if the shape of the distribution is unknown. O D. The sample size needs to be less than or equal to 30. (b) What is the probability that a random sample of n = 40 oil changes results in a sample mean time less than 15 minutes? The probability is approximately. (Round to four decimal places as needed.)

The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However, records indicate that the mean time 16.6 minutes, and the standard deviation is 4.9 minutes. Complete parts (a) through (c). (a) To compute probabilities regarding the sample mean using the normal model, what size sample would be required? O A. Any sample size could be used. O B. The sample size needs to be greater than or equal to 30. O C. The normal model cannot be used if the shape of the distribution is unknown. O D. The sample size needs to be less than or equal to 30. (b) What is the probability that a random sample of n = 40 oil changes results in a sample mean time less than 15 minutes? The probability is approximately. (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However, records indicate that the mean time is 16.6 minutes, and the standard deviation is 4.9 minutes. Complete parts (a) through (c). (a) To compute probabilities regarding the sample mean using the normal model, what size sample would be required? O A. Any sample size could be used. B. The sample size needs to be greater than or equal to 30. C. The normal model cannot be used if the shape of the distribution is unknown. D. The sample size needs to be less than or equal to 30. (b) What is the probability that a random sample of n = 40 oil changes results in a sample mean time less than 15 minutes? The probability is approximately: (Round to four decimal places as needed.)
Transcribed Image Text:The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However, records indicate that the mean time is 16.6 minutes, and the standard deviation is 4.9 minutes. Complete parts (a) through (c). (a) To compute probabilities regarding the sample mean using the normal model, what size sample would be required? O A. Any sample size could be used. B. The sample size needs to be greater than or equal to 30. C. The normal model cannot be used if the shape of the distribution is unknown. D. The sample size needs to be less than or equal to 30. (b) What is the probability that a random sample of n = 40 oil changes results in a sample mean time less than 15 minutes? The probability is approximately: (Round to four decimal places as needed.)
(c) Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 40 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, there would be a 10% chance of the mean oil-change time being at or below what value? This will be the goal established by the manager. There is a 10% chance of being at or below a mean oil-change time of minutes. (Round to one decimal place as needed.)
Transcribed Image Text:(c) Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 40 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, there would be a 10% chance of the mean oil-change time being at or below what value? This will be the goal established by the manager. There is a 10% chance of being at or below a mean oil-change time of minutes. (Round to one decimal place as needed.)
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