The average number of miles (in thousands) that a car's tire will function before needing replacement is 73 and the standard deviation is 17. Suppose that 15 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? XN 73 b. What is the distribution of ? N73 c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 71.6 and 78.1. 0.3811 17 0 0 d. For the 15 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 71.6 and 78.1. e. For part d), is the assumption that the distribution is normal necessary? Yes No o

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 average number of miles (in thousands) that a car's tire will function before needing replacement is 73
and the standard deviation is 17. Suppose that 15 randomly selected tires are tested. Round all answers to
4 decimal places where possible and assume a normal distribution.
a. What is the distribution of X? XN 73
b. What is the distribution of ? ~ N(73
c. If a randomly selected individual tire is tested, find the probability that the number of miles (in
thousands) before it will need replacement is between 71.6 and 78.1. 0.3811
17
d. For the 15 tires tested, find the probability that the average miles (in thousands) before need of
replacement is between 71.6 and 78.1.
e. For part d), is the assumption that the distribution is normal necessary? Yes No
Transcribed Image Text:The average number of miles (in thousands) that a car's tire will function before needing replacement is 73 and the standard deviation is 17. Suppose that 15 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? XN 73 b. What is the distribution of ? ~ N(73 c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 71.6 and 78.1. 0.3811 17 d. For the 15 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 71.6 and 78.1. e. For part d), is the assumption that the distribution is normal necessary? Yes No
Expert Solution
steps

Step by step

Solved in 3 steps with 7 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

need help with this one please

Are freshmen psychology majors more likely to change their major before they graduate compared to
freshmen business majors? 432 of the 627 freshmen psychology majors from a recent study changed their
major before they graduated and 459 of the 726 freshmen business majors changed their major before they
graduated. What can be concluded at the = 0.01 level of significance?
For this study, we should use [z-test for the difference between two population proportions
Ho: p1
0
a. The null and alternative hypotheses would be:
H₁: p1
on
O
b. The test statistic
c. The p-value = 0.0137
d. The p-value is
p2
p2
e. Based on this, we should fail to reject
(please enter a decimal)
2.206 x (please show your answer to 3 decimal places.)
(Please enter a decimal)
✓ (Please show your answer to 4 decimal places.)
the null hypothesis.
Transcribed Image Text:Are freshmen psychology majors more likely to change their major before they graduate compared to freshmen business majors? 432 of the 627 freshmen psychology majors from a recent study changed their major before they graduated and 459 of the 726 freshmen business majors changed their major before they graduated. What can be concluded at the = 0.01 level of significance? For this study, we should use [z-test for the difference between two population proportions Ho: p1 0 a. The null and alternative hypotheses would be: H₁: p1 on O b. The test statistic c. The p-value = 0.0137 d. The p-value is p2 p2 e. Based on this, we should fail to reject (please enter a decimal) 2.206 x (please show your answer to 3 decimal places.) (Please enter a decimal) ✓ (Please show your answer to 4 decimal places.) the null hypothesis.
Solution
Bartleby Expert
SEE SOLUTION
Similar questions
  • SEE MORE QUESTIONS
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