1. Use the data in the table to complete the following questions A B C D E F 2.40 59.94 0.0909 2.30 59.63 0.624 2.10 69.92 0.0884 2.60 69.63 0.613 2.10 69.80 0.0886 2.20 69.64 0.596 2.30 0.1000 2.40 69.21 0.607 1.50 2.90 0.582 a) Calculate the 95% confidence interval for set A to E if their s - G. b) Does the mean for set B differ from that of set E at the 90% confidence level? c) Do the means for sets A and D differ from each other? i. at the 99.5% confidence level? ii. at the 90% confidence level? 2. An ABC material is reported to contain 0.564% silicon. Your analysis of this sample yields the following values in precent silicon: 0.549, 0.550, 0.547, 0.547, 0.548. Indicate whether or not your method of anlaysis suffers from a determinate source of error. Use t(0.95) - test criterion. 3. a) the only information for bottles A and B found in a storehouse was that they contained calcium carbonate. The following results were obtained for their calcium content. Are these results significantly different at the 95% confidence level? % Ca Bottle A 40.07 39.99 40.00 39.73 Bottle B 39.78 39.70 39.78 b) The following results were obtained in the determination of calcium in serum by two methods, fluorimetry and atomic absorption spectroscopy (AAS). Is there a significant difference in the precision of the two methods at the 95% confidence level? Ca, mg/100mL AAS 11.4 10.6 11.1 11.7 10.2 Flourimetry 9.7 10.2 12.0 12.1 9.8 10.6 11.7 4. A single alloy specimen was used to compare the results of two testing laboratories. The standard deviation s and degrees of freedom (DF) in pooled sets for four analyses are