Question

It is known that the average consumption of electrical energy in a certain province is 721 Kwh.

A technology company in the region believes that its employees consume more than the provincial average. Collect information on the consumption of 15 randomly chosen employees, and obtain the following data:

710 774 814 768 823

732 675 755 770 660

654 757 736 677 797

If the distribution of monthly electricity consumption is normal:

a) Is there evidence to confirm that the average household electrical energy consumption of company employees is higher than the average consumption at the provincial level? Use a significance level of 10%.

b) What is the p-value of the decision?

Answer 1