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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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.)
​(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.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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