Your statistics teacher claims that the average mark on the mid-term statistics exam for students in the business program is 67%. You survey a random sample of 30 of the business students taking statistics, and you calculate an average mark of 62%.The statistics teacher tells you that if her claim is true, the sample means will be normally distributed, with a mean of 67%, and a standard deviation of 3.2%.Does your sample evidence indicate that the teacher's claim overestimates the true average mark for the mid-term stats exam?