#1 An entomologist is investigating which of fumigants, F1 or F2, is more effective in controlling parasites in tobacco plants. To compare the fumigants, nine fields of different soil characteristics, drainage, and amount of wind shield were planted with tobacco. Each field was then divided into two plots of equal areas. F1 was randomly assigned to one plot in each field and F2 to the other plot. Fifty plants were randomly selected from each field. 25 from each plot, and the number of parasites were counted. The data are in the following table. Field 1 2 3 4 5 6 7 8 9 Fumigant F1 Fumigant F2 77 76 40 38 11 10 31 29 28 27 50 48 53 51 26 24 33 32 a. What are the populations of interest? b. Do the data provide sufficient evidence to indicate a difference in the mean level of parasites for the two fumigants? Use = 0.10. Report the p-value for the experimental data c. Estimate the size of the difference in the mean number of parasites between the two fumigants using a 90% confidence interval NOTE: Please use SAS (i.e. enterprise guide 7_1) to provide answers to a, b & c and screen shot of the SAS report used Question #2 Following the March 24, 1989, grounding of the tank Exxon Valdez in Alaska, approximately 35,500 tons of crude oil were released into Prince William Sound. The paper \"The deep benthos of the Prince William Sound, Alaska, 16 months after the Exxon Valdez oil spill\". Reports on an evaluation of deep benthic in-fauna after the spill. Thirteen sites were selected for study. Seven of the sites were within the oil trajectory and six were outside the oil trajectory. Collection of environmental and biological data at two depths, 40 m and 100 m, occurred in the period July 1 - 23, 1990. One of the variables measured was population abundance (individuals per square meter). The values are given in the following table Site Depth 40 m Depth 100 m 1 5124 3228 Within Oil Trajectory 2 3 4 2940 3600 2880 2032 3256 3816 5 2578 2438 6 4146 4897 7 1048 1346 Outside Oil Trajectory 1 2 3 1336 394 7370 1676 2008 2224 4 6762 1234 5 744 1598 a. After combining the data from the two depths, does there appear to be a difference in population mean abundance between the sites within and outside the oil trajectory? Use = 0.05. b. Estimate the size of the difference in the mean population abundance at the two types of sites using a 95% confidence interval. c. What are the required conditions for the techniques used in parts (a) and (b)? d. Check to see whether the required conditions are satisfied. NOTE: Please use SAS (i.e. enterprise guide 7_1) to provide answers to a, b, c & d provide and screen shot of the SAS report used 6 1874 2182 Question #3 The risk of an investment is measured in terms of the variance of the returns that could be observed. Random samples of 10 yearly returns were obtained from two different portfolios. The data are given next (in thousands of dollars) in the table below. Portfolio 1 Portfolio 2 130 154 135 144 135 147 131 150 129 155 135 153 126 149 136 139 127 140 132 141 a. Does portfolio 2 appear to have a higher risk than portfolio 1? Use Levene's test for this question b. Are there any differences in the average returns for the two portfolios? Indicate the method you used in arriving at a conclusion, and explain why you use it. NOTE: Use SAS (i.e. enterprise guide 7_1) to provide answers to a & b and provide a screen shot of the SAS report used