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)

Answer 2

The confidence interval for the mean score (out of 100 points) on the final exam was between 67 points to 87 points

What is z score?

Z score is used to determine by how many standard deviations the raw score is above or below the mean.

It is given by:

z = (raw score - mean) / standard deviation

she found the mean score out of 100 points was a x¯=77, with a margin of error of 10

Hence:

Confidence interval = mean ± margin of error = 77 ± 10 = (67, 87)

The confidence interval for the mean score (out of 100 points) on the final exam was between 67 points to 87 points

Find out more on z score at: https://brainly.com/question/25638875