MATH 146 Class/Homework 16.1 Show Your Work to Earn Credit!!! Box Final Answer where appropriate Suppose you plan to take a SRS from a population of men to determine the mean height for that population. a. Suppose you know that the standard deviation of the population distribution is o = 2.8 inches. What would be your margin of error for a 90% level of confidence if you were planning to select 36 men for your sample? b. What would be your margin of error for a 95% level of confidence if you were planning to select 36 men for your sample? C. Compare your answers in parts (a) and (b). How does increasing the level of confidence (while maintaining the same sample size) affect the margin of error? d. What would be your margin of error for a 95% level of confidence if you were planning to select 64 men for your sample? What would be your margin of error for a 95% level of confidence if you were planning to select C. 100 men for your sample? f. Compare your answers in parts (b), (d) and (e). Each of these requires the same confidence level but for a different sample size. How does increasing the sample size affect the margin of error? g. What size sample would you need in order to be 95% confident that your x will be within + 0.5 inches of the mean height for the population