Sometimes, we want to convert a score from one scale to another scale with only raw scores on hand. The steps to perform that is to first compute the z-score in the original scale, and then transform it using the formula transform Standard Score (TSS) [ z x the new standard deviation + the new mean]

Data needed:

Scale strength measurement: Mean = 22 pts      Standard Deviation = 2 pts

Target Scale (bench press): Mean = 100 pts       Standard Deviation = 15 pts

Peguy has scored 24 points in the Strength scale. Compute the new z-score on the target scale. Make sure you record your answer with a sign and 2 decimals (i.e. +1.00).