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Compute the one sample Z-test for the following problems. A test is conducted for H0: μ...

Compute the one sample Z-test for the following problems. A test is conducted for H0: μ = 40, with σ = 5. A sample size of 100 is selected X= 42.2 What is the null and alternative hypothesis for a 2-tailed test of significance? Compute the SEM for this problem. Compute the one Sample Z-test for this problem.

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Answer #1

Ans:

Given that

σ = 5

n=100

Standard error of mean(SEM)=5/sqrt(100)=0.5

Test statistic:

z=(42.2-40)/0.5

z=4.4

p-value=P(z>4.4)=0.0000

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