8. Assume the competing hypotheses take the following form: HO-ul-u2-0 HA 1-u20.

Question

8. Assume the competing hypotheses take the following form: HO-ul-u2-0 HA 1-u20. where #1 is the population mean for population 1 and u2 is the population mean for population 2. Also assume that the populations are normally distributed and that the observations in the two samples are independent. The population variances are not known but are assumed equal. Which of the following expressions is appropriate test statistic? 1-72 2 2 2 A) 21 22 X1-22 2 B) 7t R1-72 C) 9. Which of the following is not a restriction for comparing two population means? A) The equality of the sample sizes B) A normally distributed sampling distribution of X1-X2 C) Both of these choices are correct. D) Neither of these choices are correct.

Explanation / Answer

dear student please post the question one at a time

8) C is right

since the population variance is unknown we cannot use Z distribution and

since the variance are assumed equal, we have to use pooled variance

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