Suppose IQ scores are approximately normally distributed with a mean of 100 and a standard deviation of 15. Answer the following questions. Calculated z-scores should be rounded to the nearest hundredth (two decimal places). Also, if a question asks for a percentage, then be sure to include the percent symbol (%) to avoid your answer being marked as incorrect due to this omission. If an individual is randomly selected from the population, then what is the probability that his/her IQ is between 110 and 130?  (Your answer should be left as a decimal expressed to four decimal places. No percents!)   Suppose an individual has an IQ of 80. How many standard deviations below the mean of 100 is this IQ score? Express the answer to the nearest hundredth (two decimal places). Do not include a + or - sign with your numerical answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose IQ scores are approximately normally distributed with a mean of 100 and a standard deviation of 15. Answer the following questions. Calculated z-scores should be rounded to the nearest hundredth (two decimal places). Also, if a question asks for a percentage, then be sure to include the percent symbol (%) to avoid your answer being marked as incorrect due to this omission.

If an individual is randomly selected from the population, then what is the probability that his/her IQ is between 110 and 130?  (Your answer should be left as a decimal expressed to four decimal places. No percents!)

 

Suppose an individual has an IQ of 80. How many standard deviations below the mean of 100 is this IQ score? Express the answer to the nearest hundredth (two decimal places). Do not include a + or - sign with your numerical answer.

 

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