Question

The mean 1RM bench press for the men's soccer team is 225 pounds, with a standard deviation of 10 pounds. Mark's 1RM bench press resulted in a z-score of -1.5. What does this mean for Mark?

Answer 1

Mark's 1RM bench press z-score of -1.5 indicates he lifts 15 pounds less than the mean of the men's soccer team, which is a bench press weight of 210 pounds.

Step-by-step explanation:

Mark's 1RM bench press resulted in a z-score of -1.5. This means that Mark's bench press is 1.5 standard deviations below the team's mean 1RM of 225 pounds. To find Mark's actual bench press weight, we use the formula:

Mark's 1RM = mean + (z-score × standard deviation)

Mark's 1RM = 225 + (-1.5 × 10)

Mark's 1RM = 225 - 15

Mark's 1RM = 210 pounds

Therefore, compared to his teammates, Mark's bench press ability is less than the mean by 15 pounds.