BASIC PRAC OF STATISTICS+LAUNCHPAD+REE
BASIC PRAC OF STATISTICS+LAUNCHPAD+REE
8th Edition
ISBN: 9781319123680
Author: Moore
Publisher: MAC HIGHER
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Chapter 25.1, Problem 2AYK

a.

To determine

To find: The percentages to prove the claim that an 18-year-old teen suffering from depression is because of bullying, which is higher than a teen who is not suffering from depression.

To construct: A bar graph that will compare the percentages of teens suffering from depression and percentages of teens who are not suffering from depression.

b.

To determine

To explain: The reason for not concluding that bullying causes depression.

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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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