Example 15-5. X;, (i = 1, 2, ..., n) are independently and normally distributed with zeromean and common variance o?.%3D•..nLet ;= 2 Cj X;,;i=1,2,where 2j = 1..., 11, CjC;'; 8;í is Kroneker delta.j= 177P1Show thatE x? - E § ? is distributed as x² variate with (n – p) d.f.oLi = 1i= 1

Answered: Image /qna-images/answer/10c7bf03-dcd3-43bb-a980-c1409ef933a8.jpg

Answered: Example 15-5. X;, (i = 1, 2, mean and…

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

Q1. Let X; and S be the mean and variance of independent random samples of size ni from populations with mean H; and variance of (i = 1,2), respectively where u, = 20. of = 9, n1 = 36 and u2 = 18, ož = 16, n2 = 49. Find (- a) P(X, > 20.98) b) x such that P(X, 12.8062) d) si such that P(S} > s3) = 0.80 e) P(X1 – X2 > 0.2336) n P(SE/S글 > 0.8368) %3D
2.2. Let Y₁, Y₂Yn denote a random sample from a gamma distribution with each Y-gamma (0; B) with known. Find a sufficient statistic for 8.
If the RVSX1, X2,..., X, all have n .2 the same variance s and he correlation oxil ficient between each pair (X;, X;), i # jof them is p, show that the correlation coefficient 2n between -1 X; and Li=n+1 X; is %3D1 пр 1+(n-1)p
The following information represents the scores that 14 students obtained (X) in Test-1 and in Test-2 (y) by 14 students: Ty-876. Ey? - 65850, Ex= 854, Ex2- 64222, and Exy - 64346 The sample correlation coefficient is: O 0.943 O 0.7968 O 0.8501 O 0.8034
stion 16: nts) A random sample of 200 psychology students was selected from a department's participant pool. A researchers determined each student's score on the NPI-16 and the number of his or her Facebook friends. The marginal distribution of NPI-16 scores was 4, with a standard deviation of 2. The marginal distribution "Facebook Friends" was 450, with a standard deviation of 200. The correlation between the two variables was .15. Assuming that NPI-16 is the predictor variable and Number of Facebook Friends is the outcome variable, compute the following: The lower limit of the 95% confidence interval around b. Note: Enter your answer to the second decimal place.
Pls solve it quickly..
A sample of 20 ordered pairs (x,y) has a value for "r" of r = 0.485 Which of the following statements are true? At the 5% level of significance, a positive correlation exists At the 1% level of significance, a positive correlation exists At the 1% level of significance, a negative correlation exists At the 5% level of significance, a negative correlation exists
Please I need help with these questions!!!
12. The following means, standard deviations and correlations are found for X1 = = seed hay crop in cwts. per acre, X2 = spring rainfall in inches, X3 = accumulated temperature above 42° F in spring, in a certain district of England during twenty years. %3D |3D X = 28-02, 01=4-42, r12 =+ 0-80, 0.40, X2 = 4.91, 02 = 1·10, r13 =- -- Ò -56. %3D X3 = 594, ơ3 = 85, r23 = - 0-56. %3D Find the partial correlations and the regression equations for hay-crop on spring rainfall and accumulated temperature,

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

Example 15-5. X;, (i = 1, 2, mean and common variance o?. n) are independently and normally distributed with zero .... Let š;= £ Cj X;,;i=1,2, j= 1 ..., 11, where 2 CijC;'; &;í is Kroneker delta. j = 1 Σ AE x2 - E Š 7 is distributed as x? variate with (n– p) d.f. OLi= 1 Show that i= 1