Candidates for promotion at a city police department are required to take a written aptitude test. scores on this test are normally distributed with a mean of 230 and a standard deviation of 50. a random sample of 9 test scores was taken. (a)what is the standard error of the sample mean score? (b)what is the probability that the sample mean score is less than 210? (c)what is the probability that the sample mean score is more than 245? (d)suppose that the population standard deviation is, in fact, 30, rather than 50. without doing the calculations, state how this would change your answers to parts (a), (b), and (c). illustrate your conclusions with the appropriate graphs.

An ideal rankine cycle with reheat uses water as the working fluid. the conditions at the inlet to the high pressure turbine are 10mpa, 650°c and the steam is reheated at a constant pressure of 1.4mpa before entering the low pressure turbine. for a condenser pressure of 10kpa, plot the cycle thermal efficiency and quality of steam at the low pressure turbine exit versus reheat temperatures (the temp of steam entering the low pressure turbine) of 400, 500, and 600°c. draw the t-s diagram and show all your work for a reheat temperature of 400°c .note, there will be two plots. one with thermal efficiency on in the ordinate versus reheat temperate and the other will have quality on the ordinate versus reheat temperature. be sure to label all axes with variables and units and include title. the plots must be done on computer.