Suppose we have two normal populations denoted A and B, and we want to compare their population

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Question 3                   20 pts

Suppose that we have disjoint normal populations A and B and we want to find the standard error estimate for estimating the difference in their means. We have an IRS from A of size 11 with variance 25 and an IRS from B of size 6 with variance 36. What is the MARGIN OF ERROR for a 95 percent confidence interval for the difference of population means if we assume both populations have the same population variance?

O 5.75

5.82

NONE OF THE OTHERS

5.78

O 5.80

Question 5                20 pts

Suppose we have two normal populations denoted A and B, and we want to compare their population variances by estimating the ratio: variance of population B divided by variance of population A. We have an independent random sample of size 15 from population A and an independent random sample of size 9 from population B. The sample variance for population B turns out to be 30 percent larger than that for population A. What is the 95 percent confidence interval for the ratio: population variance of population B divided by population variance of population A?

0.195 to 6.318

.390 to 5.369

O.273 to 8.931

NONE OF THE OTHERS

.312 to 4.277

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