Use the normal distribution of SAT critical reading scores for which the mean is 503 and the standard deviation is 113. Assume the variable x is normally distributed.(a) What percent of the SAT verbal scores are less than 650?(b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 575?(a) Approximately(Round to two decimal places as needed.)% of the SAT verbal scores are less than 650.

Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Answered: Use the normal distribution of SAT…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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In a normal distribution, x = 5 and 2=-1.25. This tells you that x = standard deviations to the (right or left) of the mean.
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Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. The indicated IQ score, x, is (Round to one decimal place as needed.) A 0.55 X Q
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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.
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?
q6
A distribution of values is normal with a mean of 246.2 and a standard deviation of 99.5. Find P78, which is the score separating the bottom 78% from the top 22%. P78 Enter your answer as a number accurate to 4 decimal places.

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