1. According to Gallup, about 33% of Americans polled said they frequently experience stress in their daily lives. Suppose you are in a class of 45 students.
a. What is the probability that no more than 12 students in the class will say that they frequently experience stress in their daily lives? Identify the sampling distribution you use and check all necessary conditions.
b. If 20 students in the class said they frequently experience stress in their daily lives, would you be surprised? Explain and use statistics to support your answer.
2. The average composite ACT score for Ohio students who took the test in 2003 was 21.4. Assume that the standard deviation is 1.05. In a random sample of 25 students who took the exam in 2003, what is the probability that the average composite ACT score is 22 or more?