For the theory component, show your work. Where relevant, keep all your middle work as well as your final answer to a minimum of four decimals, unless otherwise stated. 1. A large Canadian bank has...

For the theory component, show your work. Where relevant, keep all your middle work as well as your final answer to a minimum of four decimals, unless otherwise stated.

1. A large Canadian bank has just finished running an environmental promotional campaign aimed at getting a greater portion of its customers making larger cash withdrawals each time they visit an ATM machine. This would mean that customers would make fewer trips to the ATM machine each month and in this way would reduce auto travel and promote the environment.

A month after the completion of the promotional campaign, the bank collected the following sample of ATM cash withdrawal dollar amounts. (withdrawal amounts in dollars) 35 10 30 25 75 10 30 20 20 10 50 40 30 60 65 25 40 10 60 20 40 25 20 10 20 25 30 50 80 20 40 65
a. Construct a frequency distribution (table) that includes columns showing each class, class frequency, class midpoint, class relative frequency, and class cumulative frequency. The frequency distribution should have 5 classes and the class width should be rounded to the nearest 5 dollars. The lower limit of the first class should be $10. [5 marks]

b. Based on your frequency table construct a relative frequency polygon. Mark the horizontal scale at the class midpoints. [4 marks]

c. Based on the graphs plotted in part b. above, is the cash withdrawal amounts positively or negatively skewed? Does the skewness of the dollar withdrawal amounts support the goal of the bank's environmental promotional campaign? Briefly explain. [4 marks]

d. Based on your frequency table created in part a. above, calculate the relative cumulative frequency for the second class. Interpret the meaning of this calculation in the context of this