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5. Adult women in New City have an average height of 64.3 inches, with a standard deviation of 1.7 inches. What is the probability that

5. Adult women in New City have an average height of 64.3 inches, with a standard deviation of 1.7 inches. What is the probability that I would take a random sample of 50 adult women in New City and find an average height of less than 63 inches?

6. The proportion of Massachusetts third graders who scored "proficient or higher" on the statewide MCAS exam in 2014 is 0.68. (This is seen as a passing grade. Scoring lower than proficient would indicate that a student did not pass the exam. The categories we are looking at here are essentially pass/fail.) What is the probability that I could randomly sample 100 third graders and find a sample proportion of higher than 0.72 who scored "proficient or higher"?

7. According to the National Coffee Association, 54% of Americans adults (age 18 and up) drink coffee every day. What is the probability of taking a random sample of 824 American adults and finding that at least 470 of the sampled individuals report that they drink coffee every day?

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