8- A car rental company finds that among drivers who go over their mile driving limit go over their limit by an average 4.5 miles with a standard deviation of 1.2 miles. You conduct a survey of 49 customers. You want to know the probability that the average drivers drove more than 5 miles or P(Xbar > 5) a) Write out the distribution of the mean: The d'stricution of the Sample mean o normal ditribution with mean 4.5 M:les ond stondord 12 deciation o.17143 mi O019143 =7N4.5,017143) b) Calculate the Z-score for the probability that drivers drove more than 5 miles using the information above. =Plz>292), =1-P(Z<2.92) =1-0.9933 t0.0017 c) Look up the Z-score for problem "6 b" in the standard normal table, what value do you get? - Z-X-p - 5-4 S Graph the picture of this problem with the X and Z values, solve P(Xbar > 5) and interpret d) the results. e) Find the 25th percentile for this problem.

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
Topic Video
Question
I need help with questions D AND E
errors, what is the formula for Z-scores:
8- A car rental company finds that among drivers who go over their mile driving limit go over their
limit by an average 4.5 miles with a standard deviation of 1.2 miles. You conduct a survey of 49
customers. You want to know the probability that the average drivers drove more than 5 miles or
P(Xbar > 5)
a)
Write out the distribution of the mean:
The d'stritution of the Sample mean
s normal ditribution with mean 4.S
M:les and stondord deviation o.17143 milke
12
ーフ
Oo19143
b)
Calculate the Z-score for the probability that drivers drove more than 5 miles using the
information above.
=P(z>292)
H0.0017
Look up the Z-score for problem "6 b" in the standard normal table, what value do you get?
=1-0.9983
c)
= 5-4 S
Graph the picture of this problem with the X and Z values, solve P(Xbar > 5) and interpret
d)
the results.
e)
Find the 25th percentile for this problem.
LDUor their recommended mile run training
Transcribed Image Text:errors, what is the formula for Z-scores: 8- A car rental company finds that among drivers who go over their mile driving limit go over their limit by an average 4.5 miles with a standard deviation of 1.2 miles. You conduct a survey of 49 customers. You want to know the probability that the average drivers drove more than 5 miles or P(Xbar > 5) a) Write out the distribution of the mean: The d'stritution of the Sample mean s normal ditribution with mean 4.S M:les and stondord deviation o.17143 milke 12 ーフ Oo19143 b) Calculate the Z-score for the probability that drivers drove more than 5 miles using the information above. =P(z>292) H0.0017 Look up the Z-score for problem "6 b" in the standard normal table, what value do you get? =1-0.9983 c) = 5-4 S Graph the picture of this problem with the X and Z values, solve P(Xbar > 5) and interpret d) the results. e) Find the 25th percentile for this problem. LDUor their recommended mile run training
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Propositional Calculus
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