1. A sample of 20 items provides a sample standard deviation of5.
a. Compute the 90% confidence interval estimate of thepopulation variance.(2pts)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
b. Compute the 95% confidence interval estimate of thepopulationvariance.(2pts)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
c. Compute the 95% confidence interval estimate of thepopulation Standard Deviation.(2pts)
2. The variance in drug weights is critical in thepharmaceutical industry. For a specific drug, with weights measuredin grams, a sample of 18 units provided a sample variance ofs2 = 0.36. Â
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a.Construct a 90% confidence interval estimate of the populationvariance for the weight of thisdrug.(2pts)Â Â Â Â Â
b.Construct a 90% confidence interval estimate of the populationstandard deviation.(2pts)