1. A powerlifter is preparing for a competition and is wondering which of her lifts she should focus on. Her current personal bests are 127.5kg squat, 97.0kg bench press, and 150.0 kg deadlift. The mean and standard deviation of previous competitors in her weight class are given below. The results from each lift are nearly normally distributed. Mean (kg) SD (kg) Squat 111.7 28.1 Bench 66.2 19.6 Deadlift 136.0 29.1 a. Calculate the Z-scores for each of her lifts. Which lift is the weakest? Why? [/4] b. What percent of previous competitors deadlift less than her? Include a sketch of the distribution with the area of interest. [/3] c. The athlete wants to be in the top 2% of bench pressers for her category. How much will she need to bench press to achieve this? Include a sketch of the distribution with the area of interest. [/3] d. How would your answers change if the data from previous competitions were not normally distributed? [/1]