Question
Suppose 300 students are taking E270. As an assignment for all E270 students, the Department of...
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 |
Answers
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.
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