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Consider two populations. A random sample of 15 observations from the first population revealed a sample...

Consider two populations. A random sample of 15 observations from the first population revealed a sample mean of 300 and a sample standard deviation of 12. A random sample of 18 observations from the second population revealed a sample mean of 293 and a sample standard deviation of 14. Test the hypotheses H0 : μ1 − μ2 = 0 and H1 : μ1 − μ2 ≠ 0 ,respectively.

(a) Calculate the pooled estimate of the population variance.

(b) Test the null hypothesis at the 0.10 level of significance. Explain your conclusions.

(c) Estimate the p-value of your result.

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