**11.30 Pollutants in auto exhausts.** The level of nitrogen oxides (NOX) in the exhaust of cars of a particular model varies Normally with a mean of 0.2 grams per mile (g/mi) and a standard deviation of 0.05 g/mi. Government regulations call for NOX emissions no higher than 0.3 g/mi.(a) What is the probability that a single car of this model fails to meet the NOX requirement?(b) A company has 25 cars of this model in its fleet. What is the probability that the average NOX level \(\overline{x}\) of these cars is above the 0.3 g/mi limit?

Given that Mean = 0.2 , Standard deviation = 0.05 , Sample size = 25

Answered: 11.30 Pollutants in auto exhausts. The…

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

H0:μ=12.8H0:μ=12.8H1:μ<12.8H1:μ<12.8Your sample consists of 45 subjects, with a mean of 12.3 and standard deviation of 1.27.Calculate the test statistic, rounded to 2 decimal places. You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly less than 0.28. Your sample data produce the test statistic z=−2.672z Find the p-value accurate to 4 decimal places.
Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.31 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 66 cities is 2.37 parts per million and the standard deviation is 2.11 parts per million. At α=0.05, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Identify the claim and state H0 and Ha. Which of the following correctly states H0 and Ha? The claim is the ( null) ( alternative) hypothesis (b) Use technology to find the critical value(s) and choose the graph that shows the rejection region (c) Find the standardized test statistic, t. (d) Decide whether to reject or fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim.
Can you please check my work
Suppose, household color TVs are replaced at an average age of μ = 8.2 years after purchase, and the (95% of data) range was from 6.2 to 10.2 years. Thus, the range was 10.2 – 6.2 = 4.0 years. Let x be the age (in years) at which a color TV is replaced. Assume that x has a distribution that is approximately normal. (a) The empirical rule indicates that for a symmetrical and bell-shaped distribution, approximately 95% of the data lies within two standard deviations of the mean. Therefore, a 95% range of data values extending from μ – 2σ to μ + 2σ is often used for "commonly occurring" data values. Note that the interval from μ – 2σ to μ + 2σ is 4σ in length. This leads to a "rule of thumb" for estimating the standard deviation from a 95% range of data values.Estimating the standard deviationFor a symmetric, bell-shaped distribution, standard deviation ≈ range 4 ≈ high value – low value 4 where it is estimated that about 95% of the commonly occurring data values…
Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.31 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 66 cities is 2.39 parts per million and the standard deviation is 2.12 parts per million. At α=0.05, can the claim be supported?Complete parts (a) through (e) below. Assume the population is normally distributed.
Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.32 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 63 cities is 2.39 parts per million and the standard deviation is 2.11 parts per million. At α=0.05, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.
#5
The lifetime of a lightbulb in a certain application is normally distributed with mean μ = 1,500 hours and standard deviation σ = 200 hours. 1. What is the probability that a lightbulb will last more than 1800 hours? (Round the final answer to four decimal places.) 2. Find the 10th percentile of the lifetimes. (Round the final answer to the nearest integer.) 3. A particular lightbulb lasts 1645 hours. What percentile is its lifetime on? (Round the final answer to the nearest whole number.)
Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.33 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 64 cities is 2.38 parts per million and the standard deviation is 2.11 parts per million. At α=0.01, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. Which of the following correctly states H0 and Ha? H0: ▼ sigmaσ muμ sigma squaredσ2 pp ▼ greater than or equals≥ not equals≠ equals= greater than> less than< less than or equals≤ enter your response here Ha: ▼ pp muμ sigmaσ sigma squaredσ2 ▼ greater than or equals≥ not equals≠ greater than> less than or equals≤ less than< equals= enter your response here (Type integers or decimals. Do not round.) The claim…
SITUATION 6 (a) The elongation of a steel bar under a particular load has been established to be normally distributed with mean of 0.05 inch and standard deviation of 0.01 inch. (a.1) Find the probability that the elongation of a steel bar is below 0.15 inch. (a.2) Find the probability that the elongation of a steel bar is between 0.025 and 0.050 inch.
Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.33 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 66 cities is 2.38 parts per million and the standard deviation is 2.12 parts per million. At α=0.01, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.

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