Question 1

1 2 3 4 5 6 7 8 9 10

40 46 58 66 100 132 179 200 210 249

Calculate P25 and P75; if necessary, round percentiles to one decimal place. Construct a box plot for the given data.

Hint: Make sure you calculate IQR and check whether there are outliers in the sample. Outliers fall below Q1 1.5 * IQR or above Q3 + 1.5 * IQR.

Question 2

The management of a supermarket wants to adopt a new policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. The expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean $79 and a standard deviation of $20.

If the managements assumptions are correct, what percent of customers will spend $60 or less?If the management wants to give free gift to at most 2% of the customers, what should the amount be above which a customer would receive a free gift