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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Textbook Question
Chapter 5, Problem 5.3P
The senior class has been given a comprehensive examination to assess educational experience. The
a. between 75 and 85? __________
b. between 80 and 85? ________
c. above 80? _____________
d. above 83? ____________
e. between 80 and 70? ____________
f. between 75 and 70? ___________
g. below 75? ___________
h. below 77? __________
i. below 80? _______
j. below 85? ____________
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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
μ, 02:
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For the following population distributions f, write the approximate distribution of the sample
mean.
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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 5 Solutions
The Essentials of Statistics: A Tool for Social Research
Ch. 5 - Scores on a quiz were normally distributed and had...Ch. 5 - Assume that the distribution of scores on a...Ch. 5 - The senior class has been given a comprehensive...Ch. 5 - For a normal distribution where the mean is 50 and...Ch. 5 - At St. Algebra College, the 200 freshmen enrolled...Ch. 5 - If a distribution of test scores is normal, with a...Ch. 5 - SOC A scale measuring prejudice has been...Ch. 5 - SOC On the scale mentioned in problem 5.7, if a...Ch. 5 - For a math test on which the mean score was 59 and...Ch. 5 - SOC The average number of dropouts for a school...
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