The shape of the distribution of the time required to get an oil change at a 10-minute oil-change facility is unknown. However, records indicate that the mean time is 11.3 minutes, and the standard deviation is 3.4 minutes. Complete parts (a) through (c). (a) To compute probabilities regarding the sample mean using the normal��� model, what size sample would be required? A. Any sample size could be used. B. The sample size needs to be less than or equal to 30. C. The sample size needs to be greater than or equal to 30. D. The normal model cannot be used if the shape of the distribution is unknown. (b) What is the probability that a random sample of n=40 oil changes results in a sample mean time less than 10 minutes? The probability is approximately nothing. (Round to four decimal places as needed.)
The shape of the distribution of the time required to get an oil change at a 10-minute oil-change facility is unknown. However, records indicate that the mean time is 11.3 minutes, and the standard deviation is 3.4 minutes. Complete parts (a) through (c). (a) To compute probabilities regarding the sample mean using the normal��� model, what size sample would be required? A. Any sample size could be used. B. The sample size needs to be less than or equal to 30. C. The sample size needs to be greater than or equal to 30. D. The normal model cannot be used if the shape of the distribution is unknown. (b) What is the probability that a random sample of n=40 oil changes results in a sample mean time less than 10 minutes? The probability is approximately nothing. (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question
The shape of the distribution of the time required to get an oil change at a
mean time is
10-minute
oil-change facility is unknown. However, records indicate that the 11.3 minutes,
and the standard deviation is
3.4 minutes.
Complete parts (a) through
(c).
(a) To compute probabilities regarding the sample mean using the normal��� model, what size sample would be required?
Any sample size could be used.
The sample size needs to be less than or equal to 30.
The sample size needs to be greater than or equal to 30.
The normal model cannot be used if the shape of the distribution is unknown.
(b) What is the probability that a random sample of
n=40
oil changes results in a sample mean time less than
10
minutes?The probability is approximately
nothing.
(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
nothing
minutes.(Round to one decimal place as needed.)
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