The mean bill of 16 randomly selected customers in a restaurant is found to be 32, with a standard deviation of 3. 50. Construct a 99% confidence interval for the mean bill of a customer.
a) (30. 23, 33. 77)
b) (29. 50, 34. 50)
c) (28. 63, 35. 37)
d) (27. 75, 36. 25)