Answered: A simple random sample of 20 commuters…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 8PPS

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Question

A simple random sample of 20 commuters to the Los Angeles metropolitan area are selected, and each is asked how far they commute to work each day. In the sample, the mean distance is 64 miles and the standard deviation is 12 miles. Assume that in the population of all commuters to the Los Angeles metropolitan area, daily commuting distance follows a normal distribution, with some mean \muμ.

What is the standard error for \bar xxˉ in this sample? Give your answer to two decimal places

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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