Question

statistics professor recently graded final exams for students in her introductory statistics course. In a review of her grading, she found the mean score out of 100 points was a x¯=77, with a margin of error of 10. Construct a confidence interval for the mean score (out of 100 points) on the final exam.

Answer 1

Answer: (67,87)

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline{x}\pm E$, where $\overline{x}$ is the sample mean and E is the margin of error.

Given : Sample mean : $\overline{x}=77$

Margin of error : E=10

Then, the confidence interval for population mean will be :-

$77\pm 10=(77-10,77+10)=(67,87)$

Hence, the confidence interval for population mean =(67,87)