can you show the work pls ty

A teller at a drive-up window at a bank had the following service times in minutes) for 20 randomly selected customers: SAMPLE 1 2 3 4 4.5 4.6 4.5 4.7 4.2 4.5 4.6 4.6 4.2 4.4 4.4 4.8 4.3 4.7 4.4 4.5 4.3 4.3 4.6 4.9 What are the 3-sigma control limits? Select one: a. LCL = 4.385, UCL = 4.615 b. None of the other options. c. LCL = 4.414, UCL = 4.586 X Multiply the standard deviation by 3, not by 99.74%. d. LCL = 4.212, UCL = 4.788 e. LCL = 4.245, UCL = 4.755 Your answer is incorrect. limits = \bar{ bar{X}} \pm z \frac{ \sigma}{ oot{n}} The correct answer is: LCL = 4.245, UCL = 4.755