Let X.X2. .XN(u. 4). Suppose that for this random sample, we have thefollowing critical region (CR):3.92)CR = x,. X. ..X: X >Vnand you have to test the foilowing hypotheses:Ho: # = 0 vs H,#> 0and if want to have:Power = 0,9then find the value of the sample size (n) when u = 0,5?HintP(Z S 1.96) = 0.9750P(Z >-1.28) = 0.1000P(Z < 1.28) = 0.9000P(2 > -1.96) = 0.0250168166167165

The variance of the distribution of X is 4. So, the standard deviation is 2. The critical region is…

Let X. X. . Xp-N(u. 4). Suppose that for this random sample, we have the following critical region (CR): CR = {x,.X X: X > V 3.92) and you have to test the following hypotheses: Họ: = 0 vs Hạtu>0 and if want to have: Power 0,9 then find the value of the sample size (n) when i- 0.5?

Let X. X. . Xp-N(u. 4). Suppose that for this random sample, we have the following critical region (CR): CR = {x,.X X: X > V 3.92) and you have to test the following hypotheses: Họ: = 0 vs Hạtu>0 and if want to have: Power 0,9 then find the value of the sample size (n) when i- 0.5?

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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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

Let X.X2. .XN(u. 4). Suppose that for this random sample, we have the
following critical region (CR):
3.92)
CR = x,. X. ..X: X >
Vn
and you have to test the foilowing hypotheses:
Ho: # = 0 vs H,#> 0
and if want to have:
Power = 0,9
then find the value of the sample size (n) when u = 0,5?
Hint
P(Z S 1.96) = 0.9750
P(Z >-1.28) = 0.1000
P(Z < 1.28) = 0.9000
P(2 > -1.96) = 0.0250
168
166
167
165

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