Multiple studies have found that speaking curse words can reduce the sensation of pain. A researcher learns that the mean pain score in the population is 6.0 on a 10-point scale (where 1 is the lowest pain score, and 10 is the highest pain score), with a standard deviation of 1.0, when people submerge their hands into ice cold water without saying any curse words. The researcher selects a random sample of 81 college students and asks them to submerge their hands in ice cold water for 5 minutes while repeatedly saying their favorite curse word. The mean pain score for the sample of students who participated in this experiment was 5.7.

1. Draw a normal distribution representing the pain scores for individuals in the population, with raw scores and z-scores on the x-axis up to 3 standard deviations.

2.