You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately a = 42.7. You would like to be 99% confident that your estimate is within 0.2 of the true population mean. How large of a sample size is required? [Do not round mid-calculation. However, use a critical value rounded to three decimal places this is important for the system to check answers correctly.] You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p* = 56 % . You would like to be 99.9% confident that you estimate is within 4% of the true population proportion. How large of a sample size is required? MC] Do not round mid-calculation. However, use a critical value accurate to three decimal places. You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. Your would like to be 99.5% confident that you estimate is within 0.2% of the true population proportion. How large of a sample size is required? MC] Do not round mid-calculation. However, use a critical value accurate to three decimal places. You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 98% confident that you estimate is within 2.5% of the true population proportion. How large of a sample size is required? MD You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately 0 = 79.9. You would like to be 95% confident that your estimate is within 5 of the true population mean. How large of a sample size is required? Round up to nearest whole number. MC] You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately a = 64.7 dollars. You would like to be 98% confident that your estimate is within 3 dollar(s) of average spending on the birthday parties. How many parents do you have to sample? MC]