1 A homeowner thinks that her yearly gaselectric expenditure

1. A homeowner thinks that her yearly gas/electric expenditures can be broken down into the following percentages: 20% in the spring, 35% in the summer, 20% in the fall, and 25% in the winter. Last year, the expenditures per season are shown in the following table. At a 2.5% level of significance, give the critical value.

Season            Spring    Summer       Fall       Winter

Amt. Spent       200            320          185            245

Solution

The degrees of freedom is df = 4 - 1 = 3.

Thus, the critical value, using Excel, is

=CHIINV(0.025, 3)

chi^2 (crit) = 9.348403604 [ANSWER]