Q 20. Let u be the mean serum cholesterol level of the population of 20- to 74-year-old males in a particular countryμand we wish to test the null hypothesis Ho:μ ≥ 220mg/100ml at the significance level a = 0.05. We knowthat the standard deviation of the population is o = 60mg/100ml, and the true population mean is as smallas 200mg/100ml.(a) Find the minimum sample size we need so that the power of the test can be at least 95%. (10 marks)(b) If the true population mean is 180mg/100ml instead of 200mg/100ml, describe how the significancelevel and power will be affected, i.e., increased, decreased or unchanged. Justify your answer. (6 marks)(c) If we decrease the significance level, will the power of test be increased? Justify your answer. (4 marks)(20 marks)

Answered: Image /qna-images/answer/0b74bd0c-d977-408b-84aa-4271ae37b93b.jpg

Answered: Q 20. Let µ be the mean serum…

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

A population of values has a normal distribution with μ=52μ=52 and σ=63.4σ=63.4. You intend to draw a random sample of size n=15n=15.What is the mean of the distribution of sample means?μ¯x=μx¯= What is the standard deviation of the distribution of sample means?(Report answer accurate to 2 decimal places.)σ¯x=σx¯=
A population of values has a normal distribution with μ=216.7μ=216.7 and σ=12.4σ=12.4. You intend to draw a random sample of size n=186n=186.What is the mean of the distribution of sample means?μ¯x=μx¯= What is the standard deviation of the distribution of sample means?(Report answer accurate to 2 decimal places.)σ¯x=σx¯=
Hemoglobin levels in 11-year-old boys vary according to a normal distribution with σ=1.2 g/dL. How large a sample is needed to estimate µ with 95% confidence so the margin of error is no greater than 0.5 g/dL?
pleasnw answer.
Medical Operations The director of a medical hospital feels that her surgeons perform fewer operations per year than the national average of 211. She selected a random sample of 15 surgeons and found that the mean number of operations they performed was 210.6. The standard deviation of the sample was 3.8. Is there enough evidence to support the director's feelings at =α0.10? Assume that the population is approximately normally distributed. Use the critical value method and tables.a. State the hypotheses and identify the claim H0= (claim or not claim) H1= (claim or not claim) This hypothesis test is a (one tailed or two tailed) test Critical value(s)= t= (Reject or do not reject) the null hypothesis is there enough evidence to support the claim?
H0:μ=52.9H0:μ=52.9H1:μ<52.9H1:μ<52.9Your sample consists of 49 subjects, with a mean of 52.7 and standard deviation of 2.44.Calculate the test statistic, rounded to 2 decimal places. t=t=
A random sample of 17 adult male wolves from the Canadian Northwest Territories gave an average weight x1 = 98.6 pounds with estimated sample standard deviation s1 = 5.6 pounds. Another sample of 26 adult male wolves from Alaska gave an average weight x2 = 88.2 pounds with estimated sample standard deviation s2 = 6.0 pounds. (a) Categorize the problem below according to parameter being estimated, proportion p, mean μ, difference of means μ1 – μ2, or difference of proportions p1 – p2. Then solve the problem. μp μ1 – μ2p1 – p2 (b) Let μ1 represent the population mean weight of adult male wolves from the Northwest Territories, and let μ2 represent the population mean weight of adult male wolves from Alaska. Find a 99% confidence interval for μ1 – μ2. (Use 1 decimal place.) lower limit upper limit (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of…
A car manufacturer claims that the miles per gallon (mpg) of a certain model car is at least 29.0. We take a sample of size 40 and the sample mean mpg is 28.89. The standard deviation of the population is 0.5. What is the critical limit valuelvalues for the test (Test at a = 0.05) A +1.65 B ±196 -1.96 D -1.65

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