In Nebraska, the average ACT score is 21.7 with a standarddeviation of 1.1. We collect a random sample of 30 students whotook the exam last year.
Part 1: (6 pts)
Check the all necessary conditions in detail (not just yes orno) (1 pt each) and give the sampling model and parameters to 2decimal places (2 pts).
Part 2: (8 pts)
What is the probability that the average composite ACT score is22.1 or more? Show your calculations for finding the z-score tothree decimal places (4 pts), then find the probability to fourdecimal places using the appropriate probability notation (2 pts).Write a sentence that gives your solution in context (2 pts).
