The following are the achievement test results for 15 matched pairs taught by Method A and Method B.
(a)Construct the 95% confidence interval for $(\mu_A - \mu_B)$.
(b)Ignore thecorrelation coefficient and treat the two samples as though they were independent. Construct the 95% confidence interval for $(\mu_A - \mu_B)$.
(c)What does a comparison of the answers to (a) and (b) suggest concerning the effect on interval estimates of using samples?

Question

The following are the achievement test results for 15 matched pairs taught by Method A and Method B.   
(a)Construct the 95% confidence interval for $(\mu_A - \mu_B)$. 
(b)Ignore thecorrelation coefficient and treat the two samples as though they were independent. Construct the 95% confidence interval for $(\mu_A - \mu_B)$. 
(c)What does a comparison of the answers to (a) and (b) suggest concerning the effect on interval estimates of using samples?

Quizplus · Accepted Answer

The Answer of The following are the achievement test results for 15 matched pairs taught by Method A and Method B.   
(a)Construct the 95% confidence interval for $(\mu_A - \mu_B)$. 
(b)Ignore thecorrelation coefficient and treat the two samples as though they were independent. Construct the 95% confidence interval for $(\mu_A - \mu_B)$. 
(c)What does a comparison of the answers to (a) and (b) suggest concerning the effect on interval estimates of using samples?

The Following Are the Achievement Test Results for 15 Matched (μA−μB)(\mu_A - \mu_B)(μA​−μB​)

The Following Are the Achievement Test Results for 15 Matched $(\mu_A - \mu_B)$