A researcher is estimating the average difference between two population means based on matched-pairs samples.She gathers data on each pair in the study resulting in: Assume that the data are normally distributed in the population.To obtain a 90% confidence interval,the table t value would be ___.
A)1.86
B)1.397
C)1.533
D)2.132
E)3.346

Question

A researcher is estimating the average difference between two population means based on matched-pairs samples.She gathers data on each pair in the study resulting in:  Assume that the data are normally distributed in the population.To obtain a 90% confidence interval,the table t value would be ___.
A)1.86 
B)1.397 
C)1.533 
D)2.132 
E)3.346

Quizplus · Accepted Answer

To obtain a 90% confidence interval with matched pairs samples, we use a paired t-test. The degrees of freedom for a paired t-test is n-1, where n is the number of pairs. In this case, n = 16 pairs, so the degrees of freedom is 15.

Using a t-table with 15 degrees of freedom and a confidence level of 90%, the table t-value is 2.132. Therefore, the best choice is D.

A Researcher Is Estimating the Average Difference Between Two Population