Independent samples from two different populations yield the

Independent samples from two different populations yield the following data. x1 = 491, x2 = 415, s1 = 13, s2 = 64. The sample size is 367 for both samples. Test the claim that there is no difference between the population means at a 10% significance level.

Solution

H0: mu1 = mu2

Ha: mu1 not equals mu2

Two tailed test for independent means at 0.10 level

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The two samples are significantly different.