ii. Consider the alternative estimator of o?, (n – 1)S²/n. Find the meansquared error of this alternative estimator and compare it with that ofs?. c. Let X = {X1, X2, ..., Xn} be a random sample from a normaldistribution with the parameters u and o unknown. Consider the samplemean and sample variance, respectively:1Xị and s?,n -(X; - X)².ni=1i=1It is known that in this case:(n – 1)S²o2where x denotes a chi-squared distribution with n - 1 degrees offreedom. It is also known that if X ~ x21, then:|n-1E(X) = n – 1and Var(X) = 2(n – 1).|

Answered: Image /qna-images/answer/bb4399ce-f3d7-480c-bc80-fc818fe0fa03.jpg

Answered: Consider the alternative estimator of…

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 following table shows the weights (in pounds) and the number of hours slept in a day by a random sample of infants. Test the claim that M≠0. Use α=0.1. Then interpret the results in the context of the problem. If convenient, use technology to solve the problem. Weight, x Hours slept, y8.2 14.810.2 14.59.9 14.17.2 14.26.9 13.811.3 13.111.1 13.914.9 12.5 Calculate the test statistic. t=
Z.5 points A dependent t-test study and an independent t-test study both produced a t statistic with df = 10. How many individuals participated in each study? 12 for dependent and 12 for independent 12 for the dependent and 11 for independent 11 for dependent and 11 for independent 11 for dependent and 12 for independent
How often do you go out dancing? This question was asked by a professional survey group on behalf of the National Arts Survey. A random sample of n1 = 95 single men showed that r1 = 23 went out dancing occasionally. Another random sample of n2 = 92 single women showed that r2 = 19 went out dancing occasionally. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. (a) Do these data indicate that the proportion of single men who go out dancing occasionally is higher than the proportion of single women who do so? Use a 5% level of significance. List the assumptions you made in solving this problem. Do you think these assumptions are realistic? What is the level of significance? What is the value of the sample test statistic? (Round your answer to three decimal places.) (b) Compute a 90% confidence…
A sample of n = 7 scores has a mean ofM 5. After one new score is added to the sample, the new mean is found to be M 6. What is the value of the new score? (Hint: Compare the values for EX before and after the score was added.)
A sample of n = 64 scores has a mean of M = 68. Assuming that the population mean is p = 60, find the z-score for this sample: If it was obtained from a population with o = 16 Z = If it was obtained from a population with o = 32 Z = If it was obtained from a population with o = 48 Z =
You are conducting a test of independence to see if getting the flu is independent of whether or not you got a flu shot. Use a = 0.05. Report all answers accurate to four decimal places. Here is the sample data. Category Got Flu Shot Did not get Flu Shot Category Got Flu Shot The expected observations for this table would be: Got the Flu Did not get Flu Shot The resulting (O - E)² E Got the Flu 18 51 Category Got Flu Shot Did not get Flu Shot Did not get the Flu 118 19 Got the Flu for finding the test are: Did not get the Flu What is the p-value for this test-statistic? P-Value = Did not get the Flu What is the chi-square test-statistic for this data? (add the results from the previous table) x² =
Which of the following tables can be used as a more exact substitute for the empirical rule? t table chi squared table O F table O z table
Suppose the relationship between Y and X is given by: Y = 4 + 3.2*X + error By how much does the expected value of Y change if X increases by 1.29 units? (Round your answer to two decimal places: ex: 123.45)
A study of iron deficiency in infants compared samples of infants following different feeding regimens. Here are the summary results on hemoglobin levels at 12 months of age for two samples of infants Group n x s Breast-fed 23 13.3 1.7 Formula 19 12.4 1.8 Is there significant evidence that the mean hemoglobin level is higher among breast-fed babies? a. State the null and alternative b. Give the p-value c. Give a conclusion for the hypothesis test.

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

Consider the alternative estimator of o?, (n – 1)S²In. Find the mean squared error of this alternative estimator and compare it with that of s?.