... a) To compute probabilities regarding the sample mean using the normal model, what size sample would be required? O A. The sample size needs to be greater than or equal to 30. O B. The normal model cannot be used if the shape of the distribution is skewed right. O C. The sample size needs to be less than or equal to 30. O D. Any sample size could be used. b) What is the probability that 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 .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 mean oil-change time of minutes.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

20-

The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is skewed right. However, records indicate that the mean time is 16.5 minutes, and the
standard deviation is 4.2 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. The sample size needs to be greater than or equal to 30.
B. The normal model cannot be used if the shape of the distribution is skewed right.
C. The sample size needs to be less than or equal to 30.
O D. Any sample size could be used.
(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:The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is skewed right. However, records indicate that the mean time is 16.5 minutes, and the standard deviation is 4.2 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. The sample size needs to be greater than or equal to 30. B. The normal model cannot be used if the shape of the distribution is skewed right. C. The sample size needs to be less than or equal to 30. O D. Any sample size could be used. (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.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman