To qualify for a police academy, applicants are given a test of physical fitness. The scores are normally distributed with a mean of 64 and a standard deviation of 9. If only the top 20% of the applicants are selected, find the cutoff score.
Answer to relevant QuestionsIn the distributions shown, state the mean and standard deviation for each. Hint: See Figures 6–5 and 6–6. Also the vertical lines are 1 standard deviation apart. a. b. c. The national average SAT score (for Verbal and Math) is 1028. If we assume a normal distribution with σ = 92, what is the 90th percentile score? What is the probability that a randomly selected score exceeds 1200? Full-time Ph.D. students receive an average of $12,837 per year. If the average salaries are normally distributed with a standard deviation of $1500, find these probabilities. a. The student makes more than $15,000. b. The ...Recall that for use of a normal distribution as an approximation to the binomial distribution, the conditions np ≥ 5 and nq ≥ 5 must be met. For each given probability, compute the minimum sample size needed for use of ...Find the area under the standard normal distribution curve for each a. Between z = 0 and z = 1.95 b. Between z = 0 and z = 0.37 c. Between z = 1.32 and z = 1.82 d. Between z = –1.05 and z = 2.05 e. Between z = – 0.03 ...
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