Question

Suppose 300 students are taking E270. As an assignment for all E270 students, the Department of Economics requires each student to obtain a sample of n = 100 IUPUI undergraduate students and build a 95% confidence interval for the distance travelled to the campus. The instructors thus receives 300 different interval estimates. We would expect _____ of these intervals to contain the population mean distance travelled.

290
285
270
95

Answer 1

Solution:

Given: 300 students are taking E270 and each student obtain a sample of n = 100 IUPUI undergraduate students and build a 95% confidence interval for the distance traveled to the campus.

Thus we have 300 different interval estimates.

The 95% confidence interval means we are 95% confident that the true value of mean fall within the limits.

That is 95% of the interval constructed from the sample will capture the true population mean.

Since we have 300 confidence intervals.

thus 95% of 300 = 285

Thus correct option is: 285

We would expect 285 of these intervals to contain the population mean distance traveled.