4. Suppose we have K independent populations N(4k, o%) where µk are unknown param-eters of interest and of are known. Let 7(k) be the value of the sample mean of aniid sample of size ng from N(Hk, o) for k1,..., K. Let c1,..., Ck be the spccified%3D(known) constants.Construct a 95% confidence interval for c1µ1+……+ckµK•

Answered: of interest and o are known. Let 7(k)…

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 random sample of 18 size AA batteries for toys yield a mean of 2.6 hours with standard deviation, 1.42 hours. (a) Find the critical value, t*, for a 99% CI. t* = (b) Find the margin of error for a 99% CI. =
For mated pairs of gallinules (type of water bird), let X equal the weight in grams of the male and Y the weight in grams of the female. Assume that X and Y have a bivariate normal distribution with #x = 415, o = 611, y = 347 and o=689. The correlation coefficient between X and Y is p = -0.25. (b) Determine the marginal distributions of X and then of Y. (c) Find the conditional distribution of Y|X = x. (d) Find E(Y|X = z) and Var(Y|X = x).
A machine Packages shirt in the bags with a mean weight of 3 kg. A random sample for f 20 bags has a mean weight of 3.05 kg with a standard deviation of 0.05kg. From the data given, state the value of a, (I) parameter ii) statistics
Calculate the test-statistic, t with the following information for a Two Independent Samples t Test with Ha:μ1-μ2≠0. Be sure to first determine if you need to pool or not.n1=60, ¯x1=2.53, s1=0.53n2=50, ¯x2=2.69, s2=0.96Round to 3 decimal places. t =__________ It is pool or not?________
A random sample of 9 size AA batteries for toys yield a mean of 3.66 hours with standard deviation, 1.05 hours. (a) Find the critical value, t, for a 99% CI. t = (b) Find the margin of error for a 99% CI.
A random sample of 11 size AA batteries for toys yield a mean of 2.98 hours with standard deviation, 1.19 hours. (a) Find the critical value, t?/2, for a 99% CI. ??/2 = (b) Find the margin of error for a 99% CI.
Past research has indicated that the average age of death row inmates is 41 years old. researcher would like to determine if the average age has changed. She randomly selects 50 death row inma s and ds their average age to be 37 years old. The hypothesis the statistician wants to test is: a. Ho: µ=37 vs_ Ha: µ ± 41. b. Ho: µ=41 vs Ha: µ< 41. Ho: u = 41 vs. H: u 41 d. Ho: µ=37 vs_Ha: µ< 41. C. 2. If a player at a casino is playing roulette and betting on red, there is a 18 / 38 or 0.474 chance that he will win on any spin of the roulette wheel. If we take a random sample of 300 players betting on red, then p is the proportion of times that the player wins. What is the mean of the sampling distribution of p? t' a. b. What is the standard deviation (os) of the sampling distribution of p? c. If repeated samples of 300 players are taken, what would be the range of the sample proportion of players victories according to the 95 part of the 68-95-99.7 rule" pts) 3. The z statistic for a…
We collected a sample of twenty-five observations. We assumed that the observations are from a population whose values follow a normal distribution with a mean of u and a standard deviation of five. We performed a test with these hypotheses Ho: μ = 0H₁ = 0 and H₁ : μ0H₁0. The test statistic is the sample mean . The 5% rejection region is 1.959964 > 1.959964. What is the power of this test when μ = -2μ = -2? Please state the statistical power up to the fourth decimal place.
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 209.3. The standard deviation of the sample was 3.8. Is there enough evidence to support the director's feelings at =α0.01? Assume that the population is approximately normally distributed. Use the critical value method and tables.
A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x, be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x, be the empathy = 68.36. Another random sample of 31 fathers gave score of a father. A random sample of 37 mothers gave a sample mean of x, X, = 60.06. Assume that o, = 11.55 and o, = 11.45. (a) Let u, be the population mean of x, and let u, be the population mean of x,. Find a 99% confidence interval for u, - Hz. (Round your answers to two decimal places.) lower limit upper limit (b) Examine the confidence interval and explain what it means in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers? What does this tell you about the relationship between average empathy scores for mothers compared with those for fathers at the 99% confidence level? Because the interval contains only…
A simple random sample of size n = 40 is drawn from a population. The sample mean is found to be 108.6, and the sample standard deviation is found to be 19.6. Is the population mean greater than 100 at the x = 0.01 level of significance? Determine the null and alternative hypotheses. Ho: μ = 100 H₁: μ>100 Compute the test statistic. = 2.78 (Round to two decimal places as needed.) Determine the P-value. The P-value is 0.004. (Round to three decimal places as needed.) What is the result of the hypothesis test? the null hypothesis because the P-value is the level of significance. At the α = 0.01 level of significance, the population mean
= You wish to test Ho: d 0 versus Ha: Md > 0 at a significance level of 0.10. For the context of this problem, d = μ2 μ₁ where the first data set represents a pre-test and the second data set represents a post-test. You obtain pre-test and post-test samples for nd 18 subjects. The average difference -= (post-pre) is d 3.8 with a standard deviation of the differences of sa 32.6. Round your answers to three decimal places, and round any interim calculations to four decimal places. What is the test statistic? - - -

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

of interest and o are known. Let 7(k) be the value of the sample mcan of an aple of size ng from N(µk,0) for k 1,..., K. Let c1,..., Ck be the specificd n) constants. cuct a 95% confidence interval for ciµi + ……·+ ck#K•