1. The kid's toy Bop It[1] was designed such that the population average number of actions a player successfully performs is 4 and the population standard deviation is 2 actions. For this question, assume a sample size of 25 people randomly draw from the relevant population. Show the percent (or proportion) and relevant z-scores.
   1. What percent of such samples would we expect to have an average number of actions over 5?

1. What percent of such samples would we expect to have an average number of actions under 4.5?

1. What percent of such samples would we expect to have an average number of actions over 3.5?

1. What percent of such samples would we expect to have an average number of actions between 3.6 and 4.2?