Answered: The U.S. Census Bureau reported that…

Name: The U.S. Census Bureau reported that the mean area of U.S. homes built
Uploaded: 2024-03-20T07:07:12.000Z
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Description: The U.S. Census Bureau reported that the mean area of U.S. homes built in 2012 was 2505 square feet. A simple random sample of 17 homes built in 2013 had a mean area of 2666 square feet with a standard deviation of 212 feet. Can you conclude that the

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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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The U.S. Census Bureau reported that the mean area of U.S. homes built in 2012 was 2505 square feet. A simple random sample of 17 homes built in 2013 had a mean area of 2666 square feet with a standard deviation of 212 feet. Can you conclude that the mean area of homes built in 2013 is greater than the mean area of homes built in 2012? It has been confirmed that home sizes follow a normal distribution. Use a 10% significance level.
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H0=

HA=

Test Statistic=

P-value=

Did something significant happen?

Select the Decision Rule:

There ( is or is not) enough evidence to conclude that the mean area of homes built in 2013 were (equal or greater) to the homes built in 2012?

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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