Problem 3 Part A: An experimental diet to induce weight loss was followed for one week by a randomly selected group of 5 students with the following results. Student Loss in Pounds 1 2.2 2.6 0.4 LAWN 2.0 1.0 Find a point estimate for the average weight loss in pounds after one week on this diet. Is this an unbiased estimate of the population mean? Explain. Part B: A statistician employed by a consumer testing organization reports that at 99% confidence he has determined that the true average content of the Ulucola soft drinks is between 11.7 to 12.3 ounces. He further reports that his sample revealed an average content of 12 ounces, but he forgot to report the size of the sample he had selected. Assuming the standard deviation of the population is 2.28, determine the size of the sample. Part C: Many people who bought X-Game gaming systems over the holidays have complained that the systems they purchased were defective. In a sample of 1200 units sold, 18 units were defective. Determine a 90% confidence interval for the percentage of defective systems