B5. A transport company claimed that on average a lorry covers at least 100 miles distance inone day. Samples of 50 lorries were taken to prove the observation. The average of the sampleis 90 miles with a 2.8 standard deviation. Can we conclude at the 0.05 level, that a lorry coversless than 100 miles of Distance?Use the z test approach to test the above hypothesis.

Givensample size(n)=50Mean(x)=90standard deviation(σ)=2.8α=0.05

Answered: B5. A transport company claimed that on…

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

Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous fortrout. Suppose that a friend tells you that the average length of trout caught in PyramidLake is μ = 20 inches. However, the Creel survey reported that for a random sample of 27fish caught, the mean length was 22.1 inches with a sample standard deviation of 4.3inches. Does this data indicate that the average length of trout caught at Pyramid Lake ismore than 20 inches? Use α = 0.05.a. State the null hypothesis. ___________ State the alternative hypothesis. ________________b. Find the test statistic. ______ c. Find the P-value for the test._____________
Consider a set of data in which the sample mean is 30.230.2 and the sample standard deviation is 7.87.8. Calculate the z-score given that x=31.4x=31.4. Round your answer to two decimal places.
AARP reported that the average senior citizens living at high altitudes claim their systolic blood pressure is lower than the average of 160. To test this claim, 16 senior citizens living at high altitudes were selected at random and their blood pressures checked. Their mean systolic pressure was 151, the standard deviation for the sample was 12. Do senior citizens living at high altitudes have significantly lower systolic blood pressure? Use the 0.05 level of significance.Remember to show your steps (including all relevant information) and explicitly verify that all assumptions of the procedure are satisfied. show the steps on how to solve it
Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, u, is less than 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 35 hours and that the standard deviation is 3 hours. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? H: u is ? In the context of this test, what is a Type II error? A Type II error is ? fact, u is ? v the hypothesis that u is ? ? v. when, in Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ?
P3. Show that the mle of unknown standard deviation when the mean is known is different from the sample standard deviation when the random sample is taken from a normal population characterized by two parameters, mean and variance. Which estimator is unbiased? Justify your answer. Show that a sample mean is a minimum variance unbiased estimator of the mean of a normal population with known variance.
A gallon of paint claims to cover 400 sq ft. This feels too high. To test this, a research lab obtained 30 random gallons of paint and recruited 30 volunteers to each paint as much wall space as they could with a gallon, and the lab techs measured the area covered. They computed a mean of 396 sq ft with a standard deviation of 27 sq ft. They performed a test of hypothesis and computed a p-value of 0.212. What is the appropriate conclusion?
Based on a sample of 50 US citizens, the American Film Institute found that a typical American spent around 78 hours watching movies. The standard deviation of the sample is 9 hours. Develop a 95% CI for the population mean number of hours spent watching TV last year. Interpret the interval found. How large a sample should be used to be 90% confident that the sample mean is within 1 hour of the population mean?

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