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Are the Population Means equal?

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At the 10% level of significance, does the following sample evidence indicate that the two population means are equal? Assume the populations are normally distributed.
Sample 1: n = 21 = 10 s = 2.15
Sample 2: n = 25 = 12 s = 3.90
HINT: Since both of the samples are small, you must first determine whether the two population variances are equal so that you will know which formula (pooled standard deviation or not) to use for your hypothesis test.

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A complete, neat and step-by-step solution is provided in the attached file with regards to testing if population means are equal.

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