The average number of miles (in thousands) that a car's tire will function before needing replacement is 66 and the standard deviation is 11. Suppose that 43 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. Is the assumption that the distribution is normal necessary? For the 43 tires tested, find the probability that the average miles (in thousands) before the need for replacement is between 68.4 and 70.2

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

A. The average number of miles (in thousands) that a car's tire will function before needing replacement is 66 and the standard deviation is 11. Suppose that 43 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. Is the assumption that the distribution is normal necessary?

  1. For the 43 tires tested, find the probability that the average miles (in thousands) before the need for replacement is between 68.4 and 70.2

 

B. CNNBC recently reported that the mean annual cost of auto insurance is 1050 dollars. Assume the standard deviation is 230 dollars, and the cost is normally distributed. You take a simple random sample of 17 auto insurance policies. Round your answers to 4 decimal places. Is the assumption that the distribution is normal necessary?

1.A  simple random sample of 17 auto insurance policies, find the probability that the average cost is more than $1065

 

C. Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 1.4 month. 17 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible. Is the assumption that the distribution is normal necessary?

  1. For the 17 people, find the probability that the average age that they learned to walk is between 11.5 and 14.5 months old. 

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

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.
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