Chapter 5.2, Problem 5.50E

To determine

To explain that the statement made by the student is right or not and explain it.

Answer to Problem 5.50E

No.

Explanation of Solution

Given $\text{95\%}$ confidence interval:

  $\left(267.8,276.2\right)$

We note that the given interpretation refers to all young men, while the confidence interval is amount the mean score of all young men. The given interpretation is thus incorrect, because the confidence interval is not about individual men but about the mean score of young men.

Correct interpretation: We are $\text{95\%}$ confident that the mean score of all mean score of all young men on the quantitative part of the National Assessment of Educational Progress is between $267.8\text{ and }276.2$ .