Math Problem Statement

The heights​ (in inches) of 20 randomly selected adult males are listed below. Construct a​ 99% confidence interval for the​ variance, sigma squared. Assume the sample is from a normally distributed population. 70 72 71 70 69 73 69 68 70 71 67 71 70 74 69 68 71 71 71 72 Question content area bottom Part 1 A. ​(21.61, 69.06) B. ​(1.35, 8.43) C. ​(2.16, 71.06) D. ​(1.47, 8.27)

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Confidence Intervals
Variance
Chi-square Distribution

Formulas

Sample variance formula: s^2 = (1 / (n-1)) * Σ(x_i - x̄)^2
Confidence interval for variance: ((n-1)s^2 / χ²(α/2), (n-1)s^2 / χ²(1-α/2))

Theorems

Chi-square Distribution

Suitable Grade Level

Grades 11-12 (Advanced Statistics)