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An experiment using samples from the same random variable as described in ques- tion 7 will be conducted. Fifty samples of the random variable will be measured, and a sample mean will be calculated. Use the central limit theorem to estimate the interval that will contain the sample mean with a probability of 95%. What is the estimated maximum error that will occur with a probability of 95%?

An experiment using samples from the same random variable as described in ques- tion 7 will be conducted. Fifty samples of the random variable will be measured, and a sample mean will be calculated. Use the central limit theorem to estimate the interval that will contain the sample mean with a probability of 95%. What is the estimated maximum error that will occur with a probability of 95%?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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8. An experiment using samples from the same random variable as described in ques- tion 7 will be conducted. Fifty samples of the random variable will be measured, and a sample mean will be calculated. Use the central limit theorem to estimate the interval that will contain the sample mean with a probability of 95%. What is the estimated maximum error that will occur with a probability of 95%?
Transcribed Image Text:8. An experiment using samples from the same random variable as described in ques- tion 7 will be conducted. Fifty samples of the random variable will be measured, and a sample mean will be calculated. Use the central limit theorem to estimate the interval that will contain the sample mean with a probability of 95%. What is the estimated maximum error that will occur with a probability of 95%?
7. The PDF for a random variable is given by {} 0 fx(x) = (1 + sin(x)) X < 0, 0 ≤ x < 2T, X > 2π, A number of independent samples of the random variable will be measured, and a sample mean will be calculated. Use the Chebychev inequality to estimate how many samples will be required so that the probability the sample mean is more than 0.05 units away from the true mean is less than 0.05.
Transcribed Image Text:7. The PDF for a random variable is given by {} 0 fx(x) = (1 + sin(x)) X < 0, 0 ≤ x < 2T, X > 2π, A number of independent samples of the random variable will be measured, and a sample mean will be calculated. Use the Chebychev inequality to estimate how many samples will be required so that the probability the sample mean is more than 0.05 units away from the true mean is less than 0.05.
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