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Name: The average measured verbal IQ (IQV) scores of children is 100. In a
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Description: 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. a) Find the 98% confidence interval of t

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

a) Find the 98% confidence interval of the true mean IQV

b) If we were to ask for a minimum sample size for a 94% level of confidence, what would be the value for z-sub-c? Round to 2 decimal places.

c) How large a sample must be obtained to be 94% confident that the true mean IQV is within 2 points of the sample mean? Round appropriately for this problem.

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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