Read and analyze the statements below. Write TRUE if the statement is correct, otherwise write FALSE.

1. Nearly the entire distribution (about 99.7% of the area under the curve) falls within 2 standard deviations of the mean.

2. The standard score is obtained by dividing the difference of the raw score and the mean to the standard deviation of a given normally distributed variable.

3. If $\mu =95.5$, $\sigma =10$, and X = 115.5, then the z-score is 2.

4. A distribution which is not normal can be normalized by changing all the scores in the distribution into z-scores.

5. All z-scores to the right side of the curve are negative while those to the left are positive.