Tests the claim that 41 < µ2. Assume the samples are random and independent. 01 = 0.78 ; 02 = 0.78 T = 34:7; 2 = 35.16 %3D n1 = 31; n2 = 37 a. Calculate the Standard Error oz-i = (3 decimal places) b. Calculate the Z-test statistic using the standard error from part a.= = (2 decimal places) C. At a = 0.01 , Use the distribution table to find the critical values for the rejection region (3 decimal places) d. What is your conclusion? O Reject the alternative hypothesis and support the claim

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Tests the claim that u1 < µ2. Assume the samples are random and independent.
01 = 0.78 ; ơ2 = 0.78
T = 34.7; 2 = 35.16
%3D
= 31 ; n2 = 37
n1 =
a. Calculate the Standard Error oz- =
(3 decimal places)
(2 decimal
b. Calculate the Z-test statistic using the standard error from part a. : =
places)
C. At a = 0.01 , Use the distribution table to find the critical values for the rejection region
(3 decimal places)
=
d. What is your conclusion?
O Reject the alternative hypothesis and support the claim
O Accept the alternative hypothesis and reject the claim
O Fail to reject the null hypothesis and do not support the claim
O Accept the null hypothesis and support the claim
O Reject the null hypothesis and support the claim
Transcribed Image Text:Tests the claim that u1 < µ2. Assume the samples are random and independent. 01 = 0.78 ; ơ2 = 0.78 T = 34.7; 2 = 35.16 %3D = 31 ; n2 = 37 n1 = a. Calculate the Standard Error oz- = (3 decimal places) (2 decimal b. Calculate the Z-test statistic using the standard error from part a. : = places) C. At a = 0.01 , Use the distribution table to find the critical values for the rejection region (3 decimal places) = d. What is your conclusion? O Reject the alternative hypothesis and support the claim O Accept the alternative hypothesis and reject the claim O Fail to reject the null hypothesis and do not support the claim O Accept the null hypothesis and support the claim O Reject the null hypothesis and support the claim
Expert Solution
Step 1

Given Data :

For Sample 1

x̄1 = 34.7

σ1 = 0.78

n1 = 31

For Sample 2

x̄2 = 35.16

σ2 = 0.78

n2 = 37

Significance level, α= 0.01

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