Data Set 8-2: A sample with scores: 2, 4, 6
-Refer only to Data Set 8-2. The 95 percent confidence interval about this sample mean is
A) 1.13 to 6.87
B) 0.33 to 7.67
C) -4.61 to 12.61
D) -.97 to 8.97

Question

Quizplus · Accepted Answer

The sample mean is 4, and the standard deviation is 2. The 95% confidence interval is calculated using the formula: mean ± (t-value * standard deviation/√n). With a small sample size (n=3), the t-value is approximately 4.303. Thus, the interval is 4 ± (4.303 * 2/√3), which results in approximately -0.97 to 8.97.

Data Set 8-2: a Sample with Scores: 2, 4, 6