Answered: Ages of Homes Whiting, Indiana, leads…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Ages of Homes

Whiting, Indiana, leads the “Top 100 Cities with the Oldest Houses” list with the average age of houses being 66.4 years. Farther down the list resides Franklin, Pennsylvania, with an average house age of 59.4 years. Researchers selected a random sample of 20 houses in each city and obtained the following statistics. At α = 0.05, can it be concluded that the houses in Whiting are older? Use the P-value method. Please summarize the results in the form of normal distribution curve or bell diagram.

Whiting

Mean age = 62.1 years

Standard deviation = 5.4 years

Franklin

Mean age = 55.6 years

Standard deviation = 3.9 years

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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