The average number of miles (in thousands)that a car's tire will function before needingreplacement is 71 and the standard deviationis 13. Suppose that 15 randomly selectedtires are tested. Round all answers to 4decimal places where possible and assume anormal distribution.a. What is the distribution of X? X - N(b. What is the distribution of x? x ~ N(c. If a randomly selected individual tire istested, find the probability that thenumber of miles (in thousands) beforeit will need replacement is between73.2 and 76.1.d. For the 15 tires tested, find theprobability that the average miles (inthousands) before need of replacementis between 73.2 and 76.1.e. For part d), is the assumption that thedistribution is normal necessary? YesNo

“Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Answered: The average number of miles (in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The data in a data set are normally distributed with a mean of 190 and a standard deviation of 30. Estimate the percent of the data that are less than 130 or greater than 250.
Assume that at the average age of a population of wild turtles is normally distributed with mean age 15 years, and standard deviation 3 years. You see one of the turtles in the park. What is the age of a turtle who is at the 54 percentile? Round to two decimal places.
Assume that the mean height of women in the United States is 64.5 inches, with a standard deviation of 2.5 inches. A particular woman is 63 inches tall. Find the z-score of her height. (Round to two decimal places.)
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 38 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X=percent of fat calories. Round all answers to 4 decimal places if where possible
A mandatory competency test for high school sophomores has a normal distribution with a mean of 410 and a standard deviation of 104. Round the final answers to the nearest whole number and intermediate z-value calculations to 2 decimal places. The top 2% of students receive $500. What is the minimum score you would need to receive this award?
Find the proportion of Normally distributed observations with a zz-score above -2.84. Give your answer to four decimal places.
The human population has a mean IQ score of µ = 100 and a standard deviation of σ = 15. Find the z-score of a stat student who has an IQ score of 131. Round to 3 decimal places.
The average production cost for major movies is 57 million dollars and the standard deviation is 23 million dollars. Assume the production cost distribution is normal. Suppose that 17 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible.
00 HI T R of of It takes an average of 13.2 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will change if the patient is immediately told the truth about the injury. The EMT randomly selected 70 injured patients to immediately tell the truth about the injury and noticed that they averaged 13.4 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.52 minutes. What can be concluded at the the a = 0.10 level of significance? %3D a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Select an answer O Select an answer C. The test statistic ? 0 is 0.475. Enter it here (please show your answer to 3 decimal places.) d. The p-value is 0.6360211626. Enter it here (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that O The data suggest the population mean…
A normal distribution has a mean of 40 and a standard deviation of 5. 68% of the distribution can be found between what two numbers?
The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30. Find the score that is 2 1/2 standard deviations above the mean.
On average indoor cats live to 14yrs oldvwith a standard deviation of 2.4 yrs.Suppose the distribution is normal.Let X = the age at death of a randomly selected indoor cat.Round answers 4 decimal places where possible. The middle 30 % of indoor cats age of death lies between what two numbers? Low= yrs High= yrs

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

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

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

The average number of miles (in thousands) that a car's tire will function before needing replacement is 71 and the standard deviation is 13. Suppose that 15 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution.