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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
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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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?)
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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