A study was conducted to find out if eating whole-wheat productswas associated with a reduction
in body mass index (BMI) in adults. Researchers randomly assignedparticipants into two groups
(eaters and non-eaters of whole-eat products) for a two-monthperiod. The average BMI reduction
for the 155 adults who ate whole-wheat products was 2.3 and thestandard deviation was 1.1.
For the 148 adults who did not eat whole-wheat products the averageBMI reduction was 1.2 and
the standard deviation was 0.8. Considering a level of significanceof 0.05 (5%), build a test of
hypotheses to assess whether the average reduction in BMI would bedifferent between eaters and
non-eaters of whole-wheat products for the population of adultssimilar to the ones in this study.
a) Is this a one-sided or a two-sided test? Why?
b) Specify all four steps of your hypothesis test. Show allcalculation detail