Answered: Question 14: Big houses: The U.S.…

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 14: Big houses: The U.S. Census Bureau reported that the mean area of U.S. homes built in 2018 was 2559 square feet. Assume that a simple random sample of 22 homes built in 2020 had a mean area of 2654 square feet, with a standard deviation of 184 square feet. Assume the population of areas is normally distributed. Can you conclude that the mean area of homes built in 2020 is greater than that of homes built in 2018 ? Use the a=0.01 level of significance.

Part 1: (a) Find the P -value. Use the TI-84 calculator and round your answer to at least four decimal places.

The P-value is (BLANK)

Part 2: (b) What is the decision?

A. Reject H0

B. Do Not Reject H0

Part 3: (c) Interpret the result.

We ▼(Choose one) enough evidence at the 0.01 level of significance to conclude that the mean area of homes built in 2020▼(Choose one) that of homes built in 2018.

Answer Choice:

Have
Do Not Have

Answer Choice:

Is greater than
Is not equal to

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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