Problems 7,8, & 9

7. A nutritionist wants to estimate the average amount of cholesterol in chicken eggs. She wants to be within 8 mg with 95% confidence. If the standard deviation is known to bet- mg, what is the minimum sample size of eggs that r215 she should use? (2 pts} 8. Using a margin of error of $100, confidence level of 90% and standard deviation $403, find the minimum sample size required to estimate a population mean. (2 pts) 9. Find the minimum sample size needed to be within a margin of error of 2% of the population proportion and a confidence level of 99% when a prior study estimatedmm {2 7: 0. pts}