You want to estimate the average GMAT score for all students who took the Logitano GMAT Preparation course during the past 2 years.You select a random sample of 100 such students from a comprehensive list of all students who took the course over the last two years and find that the average GMAT score for the sample was 1040.Suppose now you build a 95% confidence interval estimate of the average score for the population of Logitano students represented here and the interval turns out to be 1040 ± 10 points.How would you interpret your result?
A)We can be 95% confident that the interval 1030 to 1050 contains the average score for the entire population of Logitano students.
B)The score for 95% of all Logitano students will be between 1030 and 1050.
C)There is a 5% chance that not all Logitano students scored between 1030 and 1050.
D)We can be 95% confident that all of Logitano students scored between 1030 and 1050.
E)Ninety-five percent of the scores for all Logitano students will be between 1030 and 1050.

Question

Quizplus · Accepted Answer

The correct interpretation of a 95% confidence interval is that we are 95% confident that the true population mean (average score for all Logitano students) lies within the interval 1030 to 1050. This does not imply that 95% of individual scores fall within this range, nor does it suggest anything about the probability of individual scores lying within this interval.

You Want to Estimate the Average GMAT Score for All