LIND 18E STATISTICAL TECHNIQUES IN BUSIN
LIND 18E STATISTICAL TECHNIQUES IN BUSIN
18th Edition
ISBN: 9781264307746
Author: Lind
Publisher: McGraw Hil
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Chapter 4, Problem 2.2PT

a.

To determine

Find the class interval.

b.

To determine

Find the number of homes that were sold in 2016.

c.

To determine

Find the number of homes sold for less than $210,000.

d.

To determine

Find the relative frequency of the class ‘210 up to 240’.

e.

To determine

Find the midpoint of the class 150 up to 180.

f.

To determine

Find two amounts between which the selling prices ranges.

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iid 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: YNEY, · (1 (EY,, varyi n For the following population distributions f, write the approximate distribution of the sample mean. (a) Exponential with rate ẞ: f(y) = ß exp{−ßy} 1 (b) Chi-square with degrees of freedom: f(y) = ( 4 ) 2 y = exp { — ½/ } г( (c) Poisson with rate λ: P(Y = y) = exp(-\} > y! y²
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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LIND 18E STATISTICAL TECHNIQUES IN BUSIN

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