How tall is the average student on your campus? To determine this,you measure the height,in centimetres,of a random sample of 9 of your fellow 100 students and calculate the following confidence interval with 95% confidence: 155.72

Question

How tall is the average student on your campus? To determine this,you measure the height,in centimetres,of a random sample of 9 of your fellow 100 students and calculate the following confidence interval with 95% confidence: 155.72 < μ(height)< 181.20

Quizplus · Accepted Answer

The confidence interval indicates that there is a 95% probability that the true population mean height of all students at the campus is between 155.72 and 181.20 cm. Option B accurately reflects this meaning. Option C is incorrect because we cannot talk about the probability of an individual classmate's height being within the interval. Option D is incorrect because height might vary across students; it is not necessary that exactly 95 out of the 100 students are within this interval. Option E incorrectly generalizes the results to all statistics students, while we had only looked at a sample from a single campus.

How Tall Is the Average Student on Your Campus? to Determine