# A random sample of size 36 is drawn from an x distribution. The sample mean is 100. (a) Suppose the

## Question:

A random sample of size 36 is drawn from an x distribution. The sample mean is 100.
(a) Suppose the x distribution has σ = 30. Compute a 90% confidence interval for μ. What is the value of the margin of error?
(b) Suppose the x distribution has σ = 20. Compute a 90% confidence interval for μ. What is the value of the margin of error?
(c) Suppose the x distribution has σ = 10. Compute a 90% confidence interval for μ. What is the value of the margin of error?
(d) Compare the margins of error for parts (a)–(c). As the standard deviation decreases, does the margin of error decrease?
(e) Compare the lengths of the confidence intervals for parts (a)–(c). As the standard deviation decreases, does the length of a 90% confidence interval decrease?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

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## Understanding Basic Statistics

ISBN: 9781111827021

6th Edition

Authors: Charles Henry Brase, Corrinne Pellillo Brase

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