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
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
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbed7ab37-3726-4b83-a741-6ed60a3ee8a9%2F3159ea55-1b60-4d5b-9a50-ac3041940e42%2Fxon3syl_processed.png&w=3840&q=75)
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
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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.](https://content.bartleby.com/qna-images/question/bed7ab37-3726-4b83-a741-6ed60a3ee8a9/a21cb252-9dbb-471f-ba96-0125924edcfd/kaeyozs_thumbnail.png)
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
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