Final answer:
To construct a 99% confidence interval for the variance σ², we use the Chi-Square distribution and the formula (n-1)s²/χ²_(α/2) ≤ σ²≤ (n-1)s²/χ²_(1-α/2). The correct answer is (c) (1.35, 8.43).
Step-by-step explanation:
To construct a 99% confidence interval for the variance, σ², of the heights of 20 randomly selected adult males, we can use the Chi-Square distribution. The formula for the confidence interval is:
(n-1)s²/χ²_(α/2) ≤ σ²≤ (n-1)s²/χ²_(1-α/2),
where n is the sample size, s² is the sample variance, and χ²_(α/2) and χ²_(1-α/2) are the critical values of the Chi-Square distribution for a given level of significance α/2.
Based on the given options, the correct answer is (c) (1.35, 8.43), as this interval is constructed using the correct formula and the appropriate critical values.