X .Xs are a random sample from aN(u, 5) population. To test the hypothesisHo : u = 110 vs H: = 112 a statisticianuses the test: Reject H if X > c, where c is a%3Dreal number.a) Define the terms level of significance andpower of a test.b) Find the value of c for which this test will havea significance level of 0.05. (Give your answer to2 decimal places)Hint: If X,..Xs~ N(.5) then whatisthe distribution of X? In particular, what is itsdistribution under H ?....c) Determine the power of the test for the valueof c found in (b).

Answered: Image /qna-images/answer/8157d63b-0941-4e8e-a6bb-bef70faa8633.jpg

Answered: b) Find the value of c for which this…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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a) Suppose that x has a distribution with μ = 7.89 and σ = 3. If a random sample is taken of size n = 43, find Mew x-Bar . * b)On an exam with ? = 70 and ? = 10, you have a score of X = 85. What is your Z-score (round your answer to the nearest 100th. ex. z = -1.86) * c) A normal distribution has ? = 80 and ? = 10. What is the probability of randomly selecting a score greater than 75 from this distribution? (round your answer to four decimal places. ex 0.0567) *
The results section of an article reports the following “IQ scores of the sample differ from the population mean of 100, single sample t (19) = 2.80, p < .05, two tail”. Based on this result, how many people were included in the sample? Select one: 20 21 19 38
8. Find the z-score corresponding to a score of X = 45 for each of the following distributions. %3D = 40 and o = 20 а. b. u = 40 and o = 10 c. u = 40 and o = 5 d. µ = 40 and o = 2 %3D
8,10
4. If T follows a 17 distribution, find to such that (a) P(T| to) = .05.
Q. 1In the population, the average score on a test of self-esteem is 50 (σ= 5). You select a randomsample of 25 students who score a mean of 53.a. Shine claims that these students don’t have very high self-esteem, because they are only 3points above the population mean. Why can’t she make this claim merely by looking atthe X? .b. What should she do? .c. What is the z-score for this sample? .d. What conclusion do you draw about your sample? .
4. Find the area of the standard normal distribution between z=-o.67 and z=0 5. Cheryl has taken two quizes in her history class. She scired 15 on the second quiz, fo which mean of all scores
In this problem, assume that the distribution of differences is approximately normal. 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 by a small amount and therefore produce a slightly more "conservative" answer. I need help with sketchng the distribution, (d) and (e)
In the distribution with u = 35 and o = 6, a score of X = 50 correspond to z =
h 1 ces D by Oni 35. Probability and Statistics Normal Distributions For the following problems, use the information below. A normal distribution has a mean of 85 and a standard deviation of 10. 39) Find the range of values that represent the middle 68% of the distribution. OA) 65-105 OB) 75-95 Save Not Graded 40) Find the range of values that represent the middle 95% of the data. OA) 65-105 OB) 75-95 Save Not Graded 41) Find the range of values that represent the middle 99% of the data. OA) 65-105 OB) 55-115 Save Not Graded
Answer a, b, & c.
nunber 23 only

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b) Find the value of c for which this test will have a significance level of 0.05. (Give your answer to 2 decimal places) N(H, 52), then whatis Hint: If X1,...,X15 the distribution of X? In particular, what is its distribution under H ?