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Name: Suppose that a random sample of 18 adults has a mean score of 66 on a
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Description: Suppose that a random sample of 18 adults has a mean score of 66 on a standardized personality test, with a standard deviation of 5. (A higher score indicates a more personable participant.) If we assume that scores on this test are normally distribu

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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Suppose that a random sample of 18 adults has a mean score of 66 on a standardized personality test, with a standard deviation of 5. (A higher score indicates a more personable participant.) If we assume that scores on this test are normally distributed, find a 95% confidence interval for the mean score of all takers of this test. Then find the lower limit and upper limit of the 95% confidence interval. Carry intermediate computations to at least 3 decimal places. Round answer to 1 decimal place.

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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