Problem 1. Values summarized below describe observed arsenic concentrations (mg/kg) in rice plants. 2.0, 1.8, 1.3, 1.7, 2.0, 1.9, 2.3, 1.9, 2.4, 2.4, 2.5, 1.7,1.6, 1.9, 2.6, 1.3, 1.9, 2.0, 2.5, 2.6, 2.3, 1.6 Use these values to test the hypothesis that the median concentration of arsenic = 2.5 rug/kg. Specically: 1. Assuming a. = 0.05, is there sufcient evidence to reject the null hypothesis that the median = 2.5 in favor of the alternative hypothesis that the median i 2.5? 2. What is the p-value of the test? 3. What is the width of the 90% condence interval? Problem 2. Data summarized below show daily product manufacturing rates of two different production 26,24, 32, 33,38,25,27,29,31, 30 lines. Line 2 38, 35, 37, 30, 31, 33, 32, 35, 34, 29 4. At the 95% condence level, are the mean values of production rates the same for the two lines? 5. What is the p-value of the test? 6. If there is a signicant difference, approximately how many more products does the faster line create each day