Mary, a nurse manager at a local hospital, wanted to know more about the hospital's full-time nurses. She polled 20 nurses at random who work full-time at the hospital. The ndings in the poll were that these nurses take, on average, 6.2 sick days per year, that 65% of them would prefer a four-day work schedule, and that 5 of them are married. Mary didn't know that the top hospital administrators had already surveyed all nurses who work full-time at the hospital. In that survey, it was found that the nurses take, on average, 7.2 sick days per year, that 59% of them would prefer a fourday work schedule, and that 72 of them are married. (a) For Mary's poll, identify the population and the sample. X b POPUIBtiOHI (Choose one) V I Samp'e= (b) Choose whether each number described below is a parameter or a statistic for Mary's poll. Number Parameter Statistic The 65% of the randomly chosen nurses who prefer a four-day work schedule 0 O The average of 7.2 sick days per year taken among all the full-time nurses at the hospital 0 O The 5 randomly chosen nurses who are married 0 O Managers at an automobile manufacturing plant would like to estimate the mean completion time of an assembly line operation, u. The managers plan to choose a random sample of completion times and estimate it via the sample. Assuming that the standard deviation of the population of completion times is 10.1 minutes, what is the minimum sample size needed for the managers to be 99% confident that their estimate is within 1.7 minutes of u? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satises the requirements). (If necessary, consult a list of formulas.) [D x5)