In a random sample of Samsung Galaxy smartphones being sold over the internet had the following prices in dollars. 199 169 385 329 269 149 135 249 349 299 249 Assume the population standard deviation is $85. (a) Why is it necessary to check whether the population from which this sample was drawn is approximately normal before constructing the CI? (b) Construct a boxplot on your graphing calculator and sketch it here. Is it reasonable to assume the population is approximately normal? (c) Construct a 90% confidence interval for the population mean price. (Use the ZInterval procedure on your graphing calculator.) (d) Interpret this confidence interval using the template on your notes page. (e) Construct a 99% confidence interval for the population mean price