Answered: Suppose that a random sample of 11…

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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Question

Suppose that a random sample of

adults has a mean score of

on a standardized personality test, with a standard deviation of

. (A higher score indicates a more personable participant.) If we assume that scores on this test are normally distributed, find a

90%

confidence interval for the mean score of all takers of this test. Then find the lower limit and upper limit of the

90%

confidence interval

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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