Use the normal distribution of SAT critical reading scores for which the mean is 513 and the standard deviation is 125. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 550? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525?

A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height converts to the z score of 5.17. How many standard deviations is his height above the​ mean?

A person scores 81 on a test of verbal ability and 6.4 on a test of quantitative ability. For the verbal ability test, the mean for people in general is 50 and the standard deviation is 20. For the quantitative ability test, the mean for people in general is 0 and the standard deviation is 5. Which is this person’s stronger ability: verbal or quantitative? Explain your answer to a person who has never had a course in statistics.

Jerome made a grade of 89.7 on his test. The mean of the test scores was 71.4 with a standard deviation of 6.8. In what top percent can Jerome say he is, based on the tes

The mean for a data set is 61. The standard deviation is 4, and the z-score is -0.34. Find the raw score. What is the raw score? (Type an integer or a decimal.)

The distribution of sample means for bi-monthly employee income at a particular company for samples of 70 employees is normal with a mean of $5921 and a standard deviation of $219. You take a random sample of 70 employees from the company and find that their mean bi-monthly income is $5668. How many standard deviations is the sample mean from the mean of the distribution of sample means?

There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores is approximately Normal with mean = 21.5 and standard deviation = 5.4. SAT Scores are reported on a scale from 600 to 2400. The distribution of SAT scores is approximately Normal with mean = 1498 and standard deviation = 316. (b) Joshua scores 17 on the ACT. Anthony scores 1030 on the SAT. Assuming both tests measure the same thing, who has the higher score? Report both z-scores. (c) What is the purpose of finding the z-scores for both the ACT and SAT scores?

Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find P40​, which is the IQ score separating the bottom 40​% from the top 60​%. Round your answer to nearest tenth.

The distribution of scores for an exam follow the rule of thumb for standard deviation. If the average score on the exam is 75 and the standard deviation is 5, what percentage of students would you expect to score between 65 and 85 on the exam (to 2 significant digits)?