5. The following table provides historical data for corn production (in millions of bushels) from 1960 to 2000. YEAR TOTAL ANNUAL AVERAGE CORN PRODUCTION PRECIPITATION TEMPERATURE [in inches) (in Fahrenheit degrees) [millions of bushels) 1960 29 46.04 1961 42 421 1902 29 1962 26 573 34 SOLA 22 1906 504 1947 611 48.10 1969 48103 789 1970 47.21 773 1971 47 42 1972 47 650 745 1973 48.80 1974 1976 47 80 47.61 902 1977 47.78 TH78 1979 47.18 948 1980 48103 1981 48 51 1178 1942 46 63 1983 49.73 12 07 1984 1986 48.31 1118 48.20 1174 1947 49.21 1092 46 20 1478 1604 1990 48 86 1463 199 1 49 80 1731 48.47 144 1994 48 28 1448 1707 1996 49 21 1627 1997 61.87 1320 1998 49.34 1440 2000 49 84 1562 a. Determine a point estimate for the proportion of time that corn production exceeds a billion bushels (note that the last column is in millions of bushels). (Hint : How many years showed more than a billion bushels versus the number of years in your sample ?)b. Develop a 99% confidence interval for the true proportion of time corn production exceeds a billion bushels. c. Determine a point estimate for the average yearly rainfall. d. Develop a 95% confidence interval for the true population mean for annual rainfall