The body mass index (kg/m2) is calculated by dividing a person's weight by the square of his or her height and is used as a measure of the extent to which the person is overweight. Suppose that the distribution of the body mass index for men has a standard deviation of s = 3 kg/m2, and we wish to estimate the mean m using a sample of size n = 49. Find the probability that we would be correct within 1 kg/m2.