Explain in detail

The finance department of a company is examining the expense claims of the employees. Data for the expense claims for the previous week from a random sample of 15 employees have been collected and are provided below in pounds sterling (f). 20 26 30 31 36 37 40 44 49 51 I 65 74 93 102 153 The sample summary statistics for these data are: 15 15 n = 15, Ex = 851, Ex? = 66, 303. i= 1 i= 1 (a) Calculate the sample mean, sample median and sample standard deviation of the expense claims. [4] (b) Assume that expense claims follow a Normal distribution. Calculate a 90% confi- dence interval for the mean employee expense claim. [6]