Answered: The average measured verbal IQ (IQV)…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

The average measured verbal IQ (IQV) scores of children is 100. In a sample of 20 children, the average was 86.9. Assume the population is normally distributed, and the population standard deviation is 18.5.

Find the 98% confidence interval of the true mean IQV. Write your answer in (AA, BB) format with 3 decimal places. Don't forget to put parentheses around your answer!

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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