Two separate samples are being used to estimate the difference between population means for two treatment conditions.Which of the following would produce the widest confidence interval? A)n₁ =n₂ = 10 with a pooled variance of 10 B)n₁ =n₂ = 10 with a pooled variance of 100 C)n₁ =n₂ = 20 with a pooled variance of 10 D)n₁ =n₂ = 20 with a pooled variance of 100

Question

Quizplus · Accepted Answer

The width of a confidence interval for the difference between two means is influenced by both the sample sizes and the variances of the samples. A larger variance and smaller sample size will produce a wider confidence interval. In this case, option B has the highest variance (100) with the smallest sample sizes (10 for each sample), which would result in the widest confidence interval.

​Two Separate Samples Are Being Used to Estimate the Difference

Two Separate Samples Are Being Used to Estimate the Difference