(a) To compute probabilities regarding the sample mean using the normal​ model, what size sample would be​ required?     A. The normal model cannot be used if the shape of the distribution is unknown.   B. Any sample size could be used.   C. The sample size needs to be greater than or equal to 30. Your answer is correct.   D. The sample size needs to be less than or equal to 30. Part 2 ​(b) What is the probability that a random sample of n=35 oil changes results in a sample mean time less than 15 ​minutes?   The probability is approximately

MATLAB: An Introduction with Applications
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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
16.5 minutes​,
and the standard deviation is
4.2 minutes.
Complete parts ​(a) through
​(c).
 
 
 

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Part 1
​(a) To compute probabilities regarding the sample mean using the normal​ model, what size sample would be​ required?
 
 
A.
The normal model cannot be used if the shape of the distribution is unknown.
 
B.
Any sample size could be used.
 
C.
The sample size needs to be greater than or equal to 30.
Your answer is correct.
 
D.
The sample size needs to be less than or equal to 30.
Part 2
​(b) What is the probability that a random sample of
n=35
oil changes results in a sample mean time less than
15
​minutes?
 
The probability is approximately
enter your response here. 
​(Round to four decimal places as​ needed.)
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