Chapter 2, Problem 8PT

To determine

To select: the best answer for the given question

Answer to Problem 8PT

The option $(e)$ is not correct.

Explanation of Solution

Given:

(a) The proportion of scores that satisfy $0<z<1.5$ is0.4332

(b) The proportion of scores that satisfy $z<-1.0$ is 0.1587

(c) The proportion of scores that satisfy $z>2.0$ is 0.0228

(d) The proportion of scores that satisfy $z<1.5$ is 0.9332

(e) The proportion of scores that satisfy $z>-3.0$ is 0.9938

Calculation:

According to $68-95-99.7$ rule, we know that $99.7\%$ of the observations lie within the 3 standard deviations about mean. Therefore the statement "the proportion of observations with $z>-3.0$ in a Standard Normal distribution is ${0.9938}^{*}$ is not a correct statement.

The option e is not correct.

Conclusion:

Therefore, the option e is not correct.