Imagine you are interested in testing whether a “power” nap can improve one’s memory. For your experiment, you get 60 participants each of whom is randomly assigned to either the control group (no power nap) or treatment group (power nap). For the treatment group, participants take a nap between 10 and 20 minutes after which they complete a task requiring them to read a short passage of text. After they read, they are given a 10-item, multiple-choice test for which they can earn up to 10 points. Each item is designed to test how well one remembers important concepts and terms from the passage. In the control group, instead of taking a power nap, participants are asked wait patiently for 10 minutes after which they are given the same task and test. Which statistical test should you use and why?
I write with proper explanation which test is significant in your described situation. Please go through the solution.
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