2.1) In constructing 95% confidence interval estimate for the difference between

Question

2.1) In constructing 95% confidence interval estimate for the difference between the means of two normally distributed populations, where the unknown population variances are assumed not to be equal, summary statistics computed from two independent samples are: 111-50.-=756 , si-35, 112-50. x,-762, and s2 30. The upper confidence limit is: a. 18.78 b. 6.78 d. 89.3 2.2) When two independent random samples of sizes n and n have been selected from populations with means 14 and 14, and variances 1 and 2, which of the following is true? a. The mean of _-x, is _ze, b. The standard error of is 12 11n c. The standard error of is estimated as .11 + 1 1n d. All of the above

Explanation / Answer

Ans:

2.1)

standard error for difference in means=sqrt((35^2/50)+(30^2/50))=6.52

Margin of error=1.96*6.52=12.78

Point estimate for difference=756-762=-6

Upper limit=-6+12.78=6.78

Option b is correct(6.78)

2.2)Option b is correct(in case of population variance are known)

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