The employees of a large international company would like to have vision care as part of their benefits package. A researcher needs to estimate the amount of money that employees and their beneficiaries spend on such treatment. on average. A sample of 40:} employees reveals the mean amount spent last year was $544.03, with a standard deviation of $1?9.31. We assume that the population standard deviation is close to the last number. {a} Construct a 95% confidence interval for the population mean amount spent on vision care. 2 Round the condence interval values to 2 decimal places. What is the 95% confidence interval? [b] Construct a 93% confidence interval for the population mean amount spent on vision care. 2 Round the condence interval values to 2 decimal places. What is the 93% confidence interval? {c} What is not true about the confidence intervals? D If the confidence level increases from 95% to 93%. then the confidence interval becomes longer. D If the confidence level increases from 95% to 98%. then the confidence interval becomes shorter. lCZITh-s- researcher is 93% confident that the confidence interval constructed in part {b} contains the true average amount spent on vision care. lCZ'There is a 95% chance that the confidence interval constructed in part {a} contains the true population mean amount spent on vision care