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# Statistics - Hypothesis Tests for Two Independent Samples

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1. In two independent samples from populations that are normally distributed, x1-bar = 35.0, s1 = 5.8, n1 = 12 and x2-bar = 42.5, s2 = 9.3, n2 = 14. Using the 0.05 level of significance, test H0:mu1 = mu2 versus H1:mu1 ≠ mu2.

2. For the following independent random samples, use the z - test and the 0.01 level of significance in testing H0:mu1=mu2 versus H1:mu1 ≠ mu2.

X1-bar = 33.5 s1 = 6.4 n1 = 31
X2-bar = 27.6 s1 = 2.7 n2 = 30.

https://brainmass.com/statistics/hypothesis-testing/hypothesis-tests-independent-samples-209035

#### Solution Preview

1. n1 = 12, n2 = 14, x1-bar = 35, x2-bar = 42.5, s1 = 5.8, s2 = 9.3
H0: mu1 = mu2
H1: mu1 is not equal to mu2
Two-tailed z- test at a = 0.05; Critical z- score = 1.96
Standard error, SE = √[(s1^2 /n1 + s2^2 /n2)] = ...

#### Solution Summary

A complete, neat and step-by-step solution to the hypothesis tests for two independent samples is provided.

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