Solve the following:

8. We measured the hight and body weight of 100 young men. The average hight was 172.6 cm, while the average weight was 72.3 kg. Suppose that the hight and weight follow 2-dimensional normal distribution with covariance matrix 40 50 C = 50 90 Test the zero hipothesis that the expectation of the hight is 170 cm, while that of the weight is 70 kg (choose 95% for the level of confidence)