e graduates with degrees in business administration are generally expected to be between $43,000and $58,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. (Round your answers up to the nearest whole number.)What is the planning value for the population standard deviation? (a)How large a sample should be taken if the desired margin of error is $600?(b)How large a sample should be taken if the desired margin of error is $200?(c)How large a sample should be taken if the desired margin of error is $100?(d)Would you recommend trying to obtain the $100 margin of error? Explain.