Here is the data. With the two sample test, we have: a. The difference in sample
ID: 3175924 • Letter: H
Question
Here is the data.
With the two sample test, we have:
a. The difference in sample means is: .0337
b. The standard error of the difference in sample means is: .0225
c. The test statistic is t = 1.4959
d. The p-value is: .1437
e. The 95% CI is -.011778 to .07978
With the paired test, we have:
a. The sample mean difference is: .0337
b. The standard error of the sample mean difference is: .0137
c. The test statistic is t = 2.4577
d. The p-value is: .024
e. The 95% CI is .0049 to .0625
Select the true statement(s) below.
The standard error for the two sample test is equal to the standard error for the paired test.
The confidence interval for the two sample test is more narrow than the confidence interval for the paired test.
The standard error for the two sample test is larger than the standard error for the paired test.
The point estimate for the two sample test is larger than the point estimate for the paired test.
The point estimate for the two sample test is smaller than the point estimate for the paired test.
The standard error for the two sample test is smaller than the standard error for the paired test.
The confidence interval for the two sample test is wider than the confidence interval for the paired test.
The confidence interval for the two sample test is the same width as the confidence interval for the paired test.
The point estimate for the two sample test is equal to the point estimate for the paired test.
Row City 1972 1968 diff (1972 1 N.Y. 0.45 0.42 0.03 2 L.A. 0.5 0.5 3 Chicago 0.52 0.52 0 0.45 0.45 0 4 Philadelphia 5 Detroit 0.46 0.43 0.03 0 6 San Francisc 0.55 0.55 7 Boston 0.6 0.45 0.15 8 0.34 0.49 0.15 Pitt. 9 St. Louis 0.35 0.45 -0.1 0.54 0.01 10 Connecticut 0.55 0.42 0.1 0.52 11 Wash., D.C. 12 0.02 0.53 0.51 Cinn. 13 Baltimore 0.57 0.49 0.08 14 Newark 0.53 0.54 -0.01 15 Minn/St. Pau 0.59 0.5 0.09 0.58 0.64 Buffalo 0.06 0.01 Houston 18 0.57 0.56 0.01 Patterson 19 Dallas 0.64 0.63 0.01Explanation / Answer
The standard error for the two sample test is equal to the standard error for the paired test. (false)
The confidence interval for the two sample test is more narrow than the confidence interval for the paired test.(vary for different cases)
The standard error for the two sample test is larger than the standard error for the paired test.(vary for different cases)
The point estimate for the two sample test is larger than the point estimate for the paired test.(false)
The point estimate for the two sample test is smaller than the point estimate for the paired test.(false)
The standard error for the two sample test is smaller than the standard error for the paired test (vary for different cases)
The confidence interval for the two sample test is wider than the confidence interval for the paired test.
(vary for different cases)
The confidence interval for the two sample test is the same width as the confidence interval for the paired test.
(vary for different cases) depends on covariance like whether it is positive or not
The point estimate for the two sample test is equal to the point estimate for the paired test.(true)