Math Problem Statement

use technology to construct the confidence intervals for the population variance o^2 and the population standard deviation o. Assume the sample is taken from a normally distributed population. c=0.95, s=33, n=15

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Confidence Intervals
Chi-Square Distribution
Population Variance
Population Standard Deviation

Formulas

Confidence Interval for Variance: ((n-1) * s^2) / chi^2_alpha/2, ((n-1) * s^2) / chi^2_1-alpha/2
Confidence Interval for Standard Deviation: (sqrt(lower bound), sqrt(upper bound))

Theorems

Chi-Square Distribution for Confidence Intervals

Suitable Grade Level

Undergraduate/College Level