Suppose that for the population of Canada the average daily consumption of sugar is 100 grams (or 24 teaspoons) with standard deviation 0- = 26 grams. A research study collects data from a random sample of 29 Canadians. (a) Consider that the sampling distribution of the sample mean follows the normal distribution. Find the probability that the sample mean differs from the population mean by more than 7 grams. To get the answer nd the shaded area shown in the graph. Hound your answer to two decimal places. Density / 93 190 107 (hi When the sample size is increased. the population standard deviation will: 0 A. stay the same 0 B. decrease O C. increase (c) Suppose the population standard deviation was 37 grams instead of 26 grams. Which of the following graphs depicts how this will change the shape of the sampling distribution of the sample mean? Choose v Denslty Denslty 100 (1) (2) (Click on a graph to enlarge it.) (d) If the population standard deviation increases, the probability that the sample mean differs from the population mean by more than 7 grams (the calculation in (a)) will: 0 A. increase 0 B. stay the same 0 C. decrease