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[See Solution] The null hypothesis and alternate hypothesis are: H_0:μ _1=μ _2 , H_A:μ _1≠ μ _2 , A random sample of 15 observations from

Question: The null hypothesis and alternate hypothesis are:

\(\begin{aligned} & {{H}_{0}}:{{\mu }_{1}}={{\mu }_{2}} \\ & {{H}_{A}}:{{\mu }_{1}}\ne {{\mu }_{2}} \\ \end{aligned}\)

A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15. At the .10 significance level, is there a difference in the population means?

Note: Use the 5 step Hypothesis-test procedure.

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