iidLet x1, X2, . , XnN(4, o2). Find the necessary sample size n and the value y so that Xn < y is the rejection region fortesting Ho : u 2 20 versus H1 : µ < 20, with the probability of type I error being 4.8% and the power at u = 19.77 being 0.95. (Youmay use o = 0.3)The following`answers" have been proposed.(a) n = 18.66 z 19, and y = 19.8842.(b) n = 31.62 - 32, and y = 19.8842.(c) n = 18.66 z 19, andy = 17.1831.(d) n = 31.62 = 32, and y = 17.1831.(e) None of the above.The correct answer is(а)(b)(c)(d)(e)N/A(Select One)

We are given X1, X2, ...., Xn~Nμ,σ2 Critical region, W=x: Xn¯<y The hypothesis under the test is…

Answered: ud N(H, o2). Find the necessary sample…

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

Let X1, X2, …, Xn be a random sample from the Normal distribution N() (a) Using method of moments to estimate the parameters and . (b) Are those estimators unbiased?
Suppose {Xi} are iid 〜Unif(0,θ). Consider the test Ho : θ=θo against H1 :θ<θo Use the likelihood ratio test to show that the critical region C has the form C={(x1,...xn)|yn≤cθo} Find c in term of the significant level a and θo. .
Explain the difference between tge z-test for u usinh rejection region(s) and the z-test for u usinh a p-value.
Suppose X1, . . . , Xn be a random sample from the Beta(θ, 1) distribution. Find the P-value for the LRT test of the hypotheses H0 : θ ≥ 1 vs H1 : θ < 1
In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At α=0.07, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e). Find the critical value(s) and identify the rejection region(s).
Find the sampling distributions of Y1 and Yn for ran-dom samples of size n from a population having the beta distribution with α = 3 and β = 2.
A simple random sample of size n=46is obtained from a population with μ=46 and σ=5. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of x?
Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi. Suppose the actual air pressure of the right and left tires are random variables X and Y respectively, with the joint p.d.f. f(x, y) = K(x^2+ y^2) when 20 < X < 30 and 20 < y < 30 and zero otherwise. Determine the marginal distribution of air pressure in the right tire alone. (Leave it in terms of K)
A manufacturer has developed a new fishing line, which he claims has a mean breaking strength of 15 kilograms with a standard deviation of 0.5 kilogram. To test the hypothesis that μ=15μ=15 kilograms against the alternative that p<15p<15 kilograms, a random sample of 50 lines will be tested. The critical region is defined to be x<14.9x<14.9(a) Find the probability of committing a type 1 error when H0H0 is true(b) Evaluate ββ for the alternatives p−14.8p−14.8 and μ=μ= 14.9 kilograms.
The fire department of a city wants to test the null hypothesis that σ =10 minutes for the time it takes a fire truck to reach a fire site against thealternative hypothesis σ 6= 10 minutes. What can it conclude at the 0.05 levelof significance if a random sample of size n = 48 yields s = 9.5minutes?
If Y1,...,Yn denote a random sample of sizenfrom the normal distribution with known mean μ and variance σ2= 25, find the method of moment estimator of μ.
To test Upper H 0: mu equals 60 versus Upper H 1: mu less than60, a random sample of size N equals 25 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below.

SEE MORE QUESTIONS

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

ud N(H, o2). Find the necessary sample size n and the value y so that Xn < y is the rejection region for testing Ho : µ 2 20 versus H1 : µ < 20, with the probability of type I error being 4.8% and the power at µ = 19.77 being 0.95. (You Let x1, X2, …· , Xn may use o = 0.3)