As the CEO of a life insurance company your goal is to ascertain the number of days required to approve life insurance policies at your firm.A random sample of 27 approved policies during a period of one month is collected in order to estimate total processing time. The following data show the total processing time, in days, for the sample of 27 policies that were approved during a period of one month:

4548171717919263505169161718

22563156609031282864161973

a. What is the sample mean?___b. What is the sample median? ____

c. Compute the following descriptive statistics: Standard Deviation ___

First Quartile ___Third Quartile ____Interquartile Range _____

d. Provide a five-number summary: _______________

e. If potential customers enter your office and ask how long the approval process takes, what would you tell them? __________________

f. At 95% confidence, what is the margin of error?______

g. What is the 95% confidence interval of the population mean?______