E Question Help 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 11.4 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. The sample size needs to be less than or equal to 30. O B. Any sample size could be used. O C. The sample size needs to be greater than or equal to 30. O 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 = 45 oil changes results in a sample mean time less than 10 minutes? The probability is approximately TI (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 45 oil changes This will be the goal established by the manager. To 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? Mu minutes. There is a 10% chance of being at or below a mean oil-change time of Pd (Round to one decimal place as needed.) DE Co Click to select your answer(s). 25 26 27 P Pearson Permissions Copyright © 2019 Pearson Education Inc. All rights reserved. I Terms of Use | Privacy Policy
E Question Help 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 11.4 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. The sample size needs to be less than or equal to 30. O B. Any sample size could be used. O C. The sample size needs to be greater than or equal to 30. O 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 = 45 oil changes results in a sample mean time less than 10 minutes? The probability is approximately TI (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 45 oil changes This will be the goal established by the manager. To 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? Mu minutes. There is a 10% chance of being at or below a mean oil-change time of Pd (Round to one decimal place as needed.) DE Co Click to select your answer(s). 25 26 27 P Pearson Permissions Copyright © 2019 Pearson Education Inc. All rights reserved. I Terms of Use | Privacy Policy
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
Transcribed Image Text:E Question Help
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
11.4 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. The sample size needs to be less than or equal to 30.
O B. Any sample size could be used.
O C. The sample size needs to be greater than or equal to 30.
O 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 = 45 oil changes results in a sample mean time less than 10 minutes?
The probability is approximately
TI
(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 45 oil
changes
This will be the goal established by the manager.
To
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?
Mu
minutes.
There is a 10% chance of being at or below a mean oil-change time of
Pd
(Round to one decimal place as needed.)
DE
Co
Click to select your answer(s).
25
26
27
P Pearson
Permissions
Copyright © 2019 Pearson Education Inc. All rights reserved. I Terms of Use | Privacy Policy
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill