14.37 Consideration of Future Consequences scale, z scores, and raw scores: A study of Consideration of Future Consequences (CFC) found a mean score of 3.51, with a standard deviation of 0.61, for the 664 students in the sample (Petrocelli, 2003).

a. Imagine that your z score on the CFC score was −1.2. What would your raw score be? Use symbolic notation and the formula. Explain why this answer makes sense.

b. Imagine that your z score on the CFC score was 0.66. What would your raw score be? Use symbolic notation and the formula. Explain why this answer makes sense.

14.38 IMDB, z scores, and raw scores: The 23,396 films on the Internet Movie Database (IMBD) have a mean rating of 6.2 and a standard deviation of 1.4 (Moertel, 2006). They are roughly normally distributed. (Note that this population includes all films that were reviewed by at least 100 people.)

a. Convert the following z scores to raw scores without using a formula: (i) −1.0, (ii) 1.0, (iii) 0.0

b. Now convert the same z scores to raw scores using symbolic notation and the formula: (i) −1.0, (ii) 1.0, (iii) 0.0