An observational study was conducted to find out if eating whole-wheat products was associated with a reduction in body mass index (BMI) for children. The measure of interest was the difference between population mean BMI for children who eat whole-wheat products and children who don't.

a) What are the null and alternative hypotheses for this situation

b) Describe what a type 1 error would be in this situation.

c) Describe what a type 2 error would be in this situation

d) Which type of error do you think is more serious in this situation? Why?