Answered: A regional planner obtains random…

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

A regional planner obtains random samples of home costs from four Michigan counties. Suppose these home costs are normally distributed in each county and that home prices within each county vary about the same amount. What test should the planner use to learn if the differences in home cost by county are significant?

State the null and alternative hypothesis
Provide the name of the hypothesis testing method and explain why it is appropriate.

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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