1. Body mass index is calculated by dividing a person's weight by the square of his or her height; it is a measure of the extent to which the individual is overweight. For the population of middle-aged men who later develop diabetes mellitus, the distribution of baseline body mass indices is approximately normal with unknown mean and standard deviation. A sample of 61 men selected from this population has a sample mean of x= 25kg/m? and sample standard deviation of s= 2.7kg / m. a) What is the p-value of the test? Just provide bounds for the p-value and interpret. b) Based on the 95% confidence interval in a), would you have expected to reject or not the null hypothesis? Why