Average Family Size 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: 3 2 7 5 4 3 6 2 5 4 3 2 7 4 2 5 3 3 2 3 5 At a=0.01, does the average family size differ from the national average? Assume the population is normally distributed. State the hypotheses and identify the claim. H0: H1: Critical value(s):

Average Family Size 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: 3 2 7 5 4 3 6 2 5 4 3 2 7 4 2 5 3 3 2 3 5 At a=0.01, does the average family size differ from the national average? Assume the population is normally distributed. State the hypotheses and identify the claim. H0: H1: Critical value(s):

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 10E

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Question

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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