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 21 capsules was taken and the weights are provided below: 98.1 100.2 98.1 98 98.7 99.9 101 99 99.4 98.7 100.8 99.3 98.4 99.9 101.5 100.7 99.1 99.8 99.5 99.3 101.9 The mean of the data set is 99.59; the sample standard deviation is 1.119; if the normality plot is not provided you may assume that the capsule weights are normally distributed. Construct a 95% confidence interval for the variance (standard deviation) of all capsule weights. i. Procedure: Select an answer ii. Assumptions: (select everything that applies) O Normal population The number of positive and negative responses are both greater than 10 O Sample size is greater than 30 O Simple random sample Population standard deviation is known O Population standard deviation is unknown iii. Unknown parameter: Select an answer

A consumer organization was concerned about the differences between the advertised sizes of containers and the actual amount of product. In a preliminary study, six packages of three different brands of margarine that are supposed to contain 500 ml were measured. The differences from 500 ml are listed here. Brand 1 Brand 2 Brand 3 1 1 3 2 3 4 4 3 2 1 4 4 What is the test value? Use 5% level of significance. a) 0.60 ОБ) 1.69 c) 2.69 d) 0.21 e) None of the answers are correct 2.

Given the following boxplot, identify the first quartile. 33.5 43.5 45.0 28.5 25 30 35 40 40 45

When a poultry farmer uses his regular feed, the newborn chickens have normally distributed weights with a mean of 62.462.4 oz. In an experiment with an enriched feed mixture, ten chickens are born with the following weights (in ounces). 66.5, 64.4, 64.6, 65.5, 66.3, 67.4, 66, 62.4, 65.9, 6266.5, 64.4, 64.6, 65.5, 66.3, 67.4, 66, 62.4, 65.9, 62 Use the α=0.01α=0.01 significance level to test the claim that the mean weight is higher with the enriched feed.   (a) The sample mean is x⎯⎯⎯=x¯= (b) The sample standard deviation is s=s= (c) The test statistic is t=t= (d) The critical value is t∗=t∗= (e) The conclusion is

1. Find the sample standard deviation from the following data.  1420,1223,988,694,730,836,721,742,541,623,1449,950 2.,  Construct a 99​%confidence interval for the population mean μ.