The Essentials of Statistics: A Tool for Social Research
4th Edition
ISBN: 9781305802698
Author: Joseph F. Healey
Publisher: Cengage Learning US
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Chapter P, Problem 4E
Exercises
You can use the following problems as a self-test on the material presented in this review. If you can handle these problems, you’re ready to do all of the arithmetic in this text. If you have difficulty with any of these problems, please review the appropriate section of this prologue. You might also want to use this section as an opportunity to become more familiar with your calculator. The answers are given immediately following these exercises, along with commentary and some reminders.
Round off each of the following to two places beyond the decimal point:
a.
b.
c.
d.
e.
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1. The CLT provides an approximate sampling distribution for the arithmetic average Ỹ of a
random sample Y₁, . . ., Yn f(y). The parameters of the approximate sampling distribution
depend on the mean and variance of the underlying random variables (i.e., the population
mean and variance). The approximation can be written to emphasize this, using the expec-
tation and variance of one of the random variables in the sample instead of the parameters
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For the following population distributions f, write the approximate distribution of the sample
mean.
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2. Let Y₁,……., Y be a random sample with common mean μ and common variance σ². Use the
CLT to write an expression approximating the CDF P(Ỹ ≤ x) in terms of µ, σ² and n, and
the standard normal CDF Fz(·).
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Chapter P Solutions
The Essentials of Statistics: A Tool for Social Research
Ch. P - Exercises You can use the following problems as a...Ch. P - Exercises You can use the following problems as a...Ch. P - Exercises You can use the following problems as a...Ch. P - Exercises You can use the following problems as a...Ch. P - Exercises You can use the following problems as a...
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