We know that the standard error of the sample mean in this case is σ/√n = 0/√√/16 = 1. Use the bootstrap method with nB 200 bootstrap samples to find the standard error of the sam- ple mean. Compare the bootstrap standard error to the actual standard error. 7.3.10 Consider a normal random variable with mean 10 and standard deviation 4. Suppose that a random sample of size 16 is drawn from this distribution and the sample mean is computed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Answer questions 7.3.10 and 7.3.12 respectively 

7.3.12. Suppose that two independent random samples (of size n1

and n2) from two normal distributions are available. Explain how

you would estimate the standard error of the difference in sample

means X1 − X2 with the bootstrap method.

We know that the standard error of the sample mean in this
case is σ/√n = 0/√√/16 = 1. Use the bootstrap method with
nB 200 bootstrap samples to find the standard error of the sam-
ple mean. Compare the bootstrap standard error to the actual
standard error.
Transcribed Image Text:We know that the standard error of the sample mean in this case is σ/√n = 0/√√/16 = 1. Use the bootstrap method with nB 200 bootstrap samples to find the standard error of the sam- ple mean. Compare the bootstrap standard error to the actual standard error.
7.3.10 Consider a normal random variable with mean 10 and
standard deviation 4. Suppose that a random sample of size 16 is
drawn from this distribution and the sample mean is computed.
Transcribed Image Text:7.3.10 Consider a normal random variable with mean 10 and standard deviation 4. Suppose that a random sample of size 16 is drawn from this distribution and the sample mean is computed.
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