Tests the claim that 41 > µ2. Assume the samples are random and independent.01 = 0.57; o2 = 0.53Z1 = 42.69 ; ī2 = 42.43nị = 41 ; n2 = 42Standard ErrorZ-Test Statistic(71 – 72) – (H1 - 2)n2a. Calculate the Standard Error o-i =(3 decimal places)b. Calculate the Z-test statistic using the standard error from part a. =(2 decimal places)C. At a = 0.1, Use the distribution table to find the critical values for the rejection region(3 decimal places)

Tests the claim that ui > µ2. Assume the samples are random and independent. o1 = 0.57 ; o2 = 0.53 Z = 42.69 ; z2 = 42.43 nị = 41 ; n2 = 42 Standard Error Z-Test Statistic (71 - 72) – (H1 – 12) n2

Tests the claim that ui > µ2. Assume the samples are random and independent. o1 = 0.57 ; o2 = 0.53 Z = 42.69 ; z2 = 42.43 nị = 41 ; n2 = 42 Standard Error Z-Test Statistic (71 - 72) – (H1 – 12) n2

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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Question

Tests the claim that 41 > µ2. Assume the samples are random and independent.
01 = 0.57; o2 = 0.53
Z1 = 42.69 ; ī2 = 42.43
nị = 41 ; n2 = 42
Standard Error
Z-Test Statistic
(71 – 72) – (H1 - 2)
n2
a. Calculate the Standard Error o-i =
(3 decimal places)
b. Calculate the Z-test statistic using the standard error from part a. =
(2 decimal places)
C. At a = 0.1, Use the distribution table to find the critical values for the rejection region
(3 decimal places)

Expert Solution

Step 1- Writing given data

Given that

Claim : $μ 1 > μ 2$

Standard deviations $σ 1 = 0.57; σ 2 = 0.53$

Sample means ${\bar{x}}_{1} = 42.69; {\bar{x}}_{2} = 42.43$

Sample sizes $n_{1} = 41; n_{2} = 42$

Standard error (SE) = $\sqrt{\frac{σ 1^{2}}{n_{1}} + \frac{σ 2^{2}}{n_{2}}}$

Test statistic (z) = $\frac{({\bar{x}}_{1} - {\bar{x}}_{2}) - (μ_{1} - μ_{2})}{S E}$

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