The average family size was reported as 3.18. A random sample of families in a particular school district resulted in the following family sizes: 545443643355633274522232 At =α 0.01, does the average family size differ from the national average? Assume the population is normally distributed. Find the P-value. Round answer to four decimal places. Make a decision and Summarize your answer.

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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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The average family size was reported as 3.18. A random sample of families in a particular school district resulted in the following family sizes:

5	4	5	4	4	3	6	4	3	3	5	5
6	3	3	2	7	4	5	2	2	2	3	2

At =α 0.01, does the average family size differ from the national average? Assume the population is normally distributed. Find the P-value. Round answer to four decimal places. Make a decision and Summarize your answer.

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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