Chapter 7.3, Problem 65E

To determine

The correct answer from the options that the mean of the average scores you get should be close to (a) 515, (b) $\frac{515}{100}=5.15$ , (c) $\frac{515}{\sqrt{100}}=51.5$ , (d) 0, (e) none of these.

Answer to Problem 65E

The correct answer is (a).

Explanation of Solution

Given information:

Mean = 515

Standard deviation = 114

Number of students for SRS = 100

Formula used:

The mean of the average $\overline{x}$is the mean of the population that is, ${\mu }_{\overline{x}}=\mu$

Consider that the mean be $\mu$and standard deviation be $\sigma$ .

Write: $\mu =515$and $\sigma =114$

To find the mean of the average scores, use the formula ${\mu }_{\overline{x}}=\mu$ .

Substitute 515 for $\mu$in the above formula.

  ${\mu }_{\overline{x}}=515$

Thus, the mean of the average score is 515.

Hence, the correct answer is (a).