1. The following information shows the number of mice caught during a business night and day shifts during a short week

Shift		Day
	Tuesday	Wednesday	Thursday	Friday
Day	7	9	5	10
Night	3	7	4	12

Test, at the 5% significance level, whether H0: 1 - 2 = 0 is true versus HA: 1 - 2 < 0, if the variance of the day sample is 4.7 and the variance of the night sample is 10. (Hint: You need to calculate 1 and 2)

2. Use the following table of student expenditures to calculate an aggregate price index and a Laspeyre index using Year 1 as the base year. Do the indices agree?

	Year 1	Year 2
	Price	Quantity	Price	Quantity
Food	40	200	35	150
Entertainment	17	20	28	40
Books	60	20	80	11
Rent	70	40	80	45

3.

a) Maximize the function P= 3A + 2B

subject to 2A + 5B < 20

and 5A + 2B < 10