Breakfast cereal. A scientist is claiming that people who eat high-fiber cereals for breakfast will consume fewer calories at lunch. A study recorded the number of calories consumed at lunch by two groups of people: consumers of high-fiber cereals and non-consumers of high-fiber cereals.

Consumers of high-fiber cereals: 568, 646, 555, 530, 540, 593, 629, 659, 479, 584, 617, 681, 540, 556, 467, 532, 694, 608, 780

Non consumers of high-fiber cereals: 705, 740, 593, 563, 514, 815,688, 723, 733, 580, 628, 710, 620, 547, 644,537, 679, 643, 598, 663, 505, 685, 809, 484, 646, 588, 794, 717

a) Write the null and alternative hypotheses.

b) Check the conditions for a Wilcoxon rank-sum (or Mann-Whitney) test.

c) Complete the test and report your conclusion.

d) Make histograms of each group. Discuss whether you would choose a nonparametric test for these data or twos ample -test.