iid 1. Let Y1,..., Yn approximation to the binomial distribution. You may find the following applets helpful: Bernoulli(p). For this problem, you will assess the quality of the CLT • https://homepage.divms.uiowa.edu/ mbognar/applets/bin.html • https://homepage.divms.uiowa.edu/ mbognar/applets/normal.html (a) Consider the standardized sample mean: Vn(Ỹ – p) VP(1 – p Write an expression approximating the CDF: ( s) Vn(Ÿ – p) VP(1 – p) F(c) = P Denote the approximation by F(c). What is F(2)? Calculate a specific number.
iid 1. Let Y1,..., Yn approximation to the binomial distribution. You may find the following applets helpful: Bernoulli(p). For this problem, you will assess the quality of the CLT • https://homepage.divms.uiowa.edu/ mbognar/applets/bin.html • https://homepage.divms.uiowa.edu/ mbognar/applets/normal.html (a) Consider the standardized sample mean: Vn(Ỹ – p) VP(1 – p Write an expression approximating the CDF: ( s) Vn(Ÿ – p) VP(1 – p) F(c) = P Denote the approximation by F(c). What is F(2)? Calculate a specific number.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Transcribed Image Text:iid
Bernoulli(p). For this problem, you will assess the quality of the CLT
1. Let Y1,..., Yn
approximation to the binomial distribution. You may find the following applets helpful:
• https://homepage.divms.uiowa.edu/ mbognar/applets/bin.html
• https://homepage.divms.uiowa.edu/ mbognar/applets/normal.html
(a) Consider the standardized sample mean:
Vn(Ỹ – p)
VP(1 – p
Write an expression approximating the CDF:
Va(Y – p)
VP(1 – p)
F(c) = P
Denote the approximation by F(c). What is F(2)? Calculate a specific number.
(b) Find c* in terms of c, n, p such that:
Va(Y – p)
Pp(1- p)
F(c) =
<c
P(nÝ < c*)
How can you calculate F(c) exactly? (Hint: what is the sampling distribution of nY?)
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