Researchers are interested in studying the dietary habits of Americans. In response to National Candy Day on November 4, they are interested in seeing ifthe average candy consumption has increased over the last decade. A random sample of 40 Americans is collected, and the average annual candy consumption was observed to be 22 pounds with a standard deviation of 6 pounds. In 2012, Americans ate an average of19 pounds of candy per year. Is there evidence that the average amount of candy consumed annually is now significantly greater than 19 pounds? Test the claim at a = 0.05. 3 pts. a) Should we perform a z or a ttest? Explain. 3 pts. b) State the null (H0) and alternative (Ha) hypotheses. 2 pts. c) Compute the test statistic. 2 pts. (:1) Find the Pvalue. 3 pts. e) Do we reject or fail to reject H0? Justify. Interpret your decision in context ofthe problem. 2 pts. f) Would changing the significance level to or = 0.01 alter the conclusion ofthe test? Explain