Question

1. The variance in drug weights is critical in the pharmaceutical industry. For a specific drug, with weights measured in grams, a sample of 18 units provided a sample variance of s² = 0.36. Construct a 90% confidence interval estimate of the population variance for the weight of this drug.

Select one:

a. 0.22 ≤≤ σσ² ≤≤ 0.71

b. 0.42 ≤≤ σσ² ≤≤ 0.87

c. 2.08 ≤≤ σσ² ≤≤ 16.7

d. 1.23 ≤≤ σσ² ≤≤ 2.55

2.

A sample of 27 items from population 1 has a sample variance 17.45 and a sample of 31 items from population 2 has a sample variance 5.39. Test the following hypotheses at the 0.01 level of significance.

Compute critical value and make a statement about H₀.

Select one:

a. Test statistic = 0.31, reject H₀

b. Test statistic = 3.24, can't reject H₀

c. Test statistic = 3.24, reject H₀

d. Test statistic = 0.31, can't reject H₀

3.

A sample of 10 items from population 1 has a sample variance 5.8 and a sample of 16 items from population 2 has a sample variance 2.4. Test the following hypotheses at the 0.05 level of significance.

Compute critical value and make a statement about H₀.

Select one:

a. Test statistic = 0.41, reject H₀

b. Test statistic = 2.42, can't reject H₀

c. Test statistic = 0.41, can't reject H₀

d. Test statistic = 2.42, reject H₀

Answer 1

Question is answered below.