MCCC MATH-130 NAME: PROBABILITY & STATISTICS ASSIGNMENT #6 CHAPTER 7 PLEASE SHOW ALL WORK (TOTAL 20 POINTS) 1. We want to estimate the mean average consumption level for a home in one region. We want to be 90% condent that our sample mean is within 25 kwh of the true population mean, and past data strongly suggest that the population standard deviation is 137 kwh. How large must our sample be? 2. A study of shark attacks on humans showed that 15 of 200 attacks occurred in deep water. Construct the 99% condence interval for the true proportion of shark attacks that occur in deep water. 3. A botanist measures the heights of 24 seedlings and obtains a mean and standard deviation of 41 .6 cm and 4.8 cm, respectively. Construct the 98% condence interval for the population mean. 4. Use the same sample data given in problem 3 to construct the 95% condence interval for the population standard deviation 0'. a. Evaluate tat/2 for a = 0.05 and n = 18. b. Evaluate 2,1,2 for a = 0.06. c. Evaluate XL2 for a = 0.05 and n = 14. d. Given the sample data in problem 3. what is the best point estimate of the population mean? e. Given the sample data in problem 2, what is the best point estimate of the population proportion of shark attacks that occur in deep water