distributed with a mean of 80kg and a standard deviation of 10kg. The recruiting center wants to test, at the 1% level of significance, if the average weight of this year's recruits is above 80kg. To do this, it takes a random sample of 25 recruits and finds that the average weight for this sample is 85kg. Conduct this test and explain your results in the context of the objective of the recruiting center. (2)Consider the following data which describe the production function for a farmer in Nebraska Year Corn Produced 10 Fertilizer Used 1.5 2.5 (a)Plot a scatter diagram for these observed data 1971 1972 11 1973 1974 1975 12 13 11.5 3 3.5 4 1976 1977 1978 1979 14.5 18.5 4.5 6.5 15 5.5 17 6 1980 20 8

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