For a certain drug, based on standards set by the United States Pharmacopeia (USP) - an official public standards-setting authority for all prescription and over-the-counter medicines and other health care products manufactured or sold in the United States, a standard deviation of capsule weights of less than 2 mg is acceptable. A sample of 30 capsules was taken and the weights are provided below: 100 101.4 100.8 100.2 97.7 99.6 100.1 99.8 101.2 100.7 100.2 99.4 100.1 101.1 99.8 100.7 100.9 98.9 98.8 98.4 99.7 97.9 99.9 101.1 98.3 99.8 98.1 98.7 99.9 100.7 The mean of the data set is 99.8; the sample standard deviation is 1.041; if the normality plot is not provided you may assume that the capsule weights are normally distributed. Construct a 90% confidence interval for the variance (standard deviation) of all capsule weights