4th Edition

ISBN: 9780321826275

Author: Richard D. De Veaux

Publisher: PEARSON

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Chapter 15, Problem 50E

Rainfall Statistics from Cornell’s Northeast Regional Climate Center indicate that Ithaca, New York, gets an average of 35.4" of rain each year, with a standard deviation of 4.2". Assume that a Normal model applies.

a) During what percentage of years does Ithaca get more than 40" of rain?
b) Less than how much rain falls in the driest 20% of all years?
c) A Cornell University student is in Ithaca for 4 years. Let y ¯ represent the mean amount of rain for those 4 years. Describe the sampling distribution model of this sample mean, y ¯ .
d) What’s the probability that those 4 years average less than 30" of rain?

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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Chapter 15, Problem 49E

Chapter 15, Problem 51E

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Chapter 15 Solutions

Intro Stats

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