Refer to Exercise 10 Use the normal approximation to estimate the critical values 2 100, 0 025 and 2 100, 0 975 for a 95 confidence interval, and construct a 95 confidence interval for A more accurate normal approximation to 2 k, is given by 2 k, 0 5(z 2k 1) 2 , where z is the z score that has area to its right Refer to Exercise 10 A sample of size 101 from a normal population has sample standard deviation s 40 The lower and upper 0 025 points of the 2 100 distribution are 2 100, 0 975 74 222 and 2 100, 0 025 129 561 Use these values to construct a 95 confidence interval for

Question: Refer to Exercise 10. Use the normal approximation to estimate the critical values 2 100, 0.025 and 2 100, 0.975 for a 95%

Refer to Exercise 10. Use the normal approximation to estimate the critical values χ²_{100, 0.025} and χ²_{100, 0.975} for a 95% confidence interval, and construct a 95% confidence interval for σ.

A more accurate normal approximation to χ²_k,α is given by χ²_k,α ≈ 0.5(z_α +√2k − 1)², where z_α is the z-score that has area α to its right.

Refer to Exercise 10.

A sample of size 101 from a normal population has sample standard deviation s = 40. The lower and upper 0.025 points of the χ²₁₀₀ distribution are χ²_{100, 0.975} = 74.222 and χ²_{100, 0.025} = 129.561. Use these values to construct a 95% confidence interval for σ.

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