Following are interest rates (annual percentage rates) for a 30-year fixed-rate mortgage froma sample of lenders in Colorado on May 3, 2013. Assume that the population is normallydistributed.3.516 3.499 3.638 3.540 3.547 3.5003.395 3.401 3.500 3.625 3.625 3.667Construct a 95% confidence interval for the population variance σ².The chi-square distribution is skewed, but as the number of degrees of freedom becomeslarge, the skewness diminishes. If the number of degrees of freedom, k, is large enough, thechi-square distribution is reasonably well approximated by a normal distribution with meank and variance 2k.
Following are interest rates (annual percentage rates) for a 30-year fixed-rate mortgage froma sample of lenders in Colorado on May 3, 2013. Assume that the population is normallydistributed.3.516 3.499 3.638 3.540 3.547 3.5003.395 3.401 3.500 3.625 3.625 3.667Construct a 95% confidence interval for the population variance σ².The chi-square distribution is skewed, but as the number of degrees of freedom becomeslarge, the skewness diminishes. If the number of degrees of freedom, k, is large enough, thechi-square distribution is reasonably well approximated by a normal distribution with meank and variance 2k.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Following are interest rates (annual percentage rates) for a 30-year fixed-rate mortgage from
a sample of lenders in Colorado on May 3, 2013. Assume that the population is normally
distributed.
3.516 3.499 3.638 3.540 3.547 3.500
3.395 3.401 3.500 3.625 3.625 3.667
Construct a 95% confidence interval for the population variance σ².
The chi-square distribution is skewed, but as the number of degrees of freedom becomes
large, the skewness diminishes. If the number of degrees of freedom, k, is large enough, the
chi-square distribution is reasonably well approximated by a
k and variance 2k.
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