C. Researchers studying the effects of diet on growth would like to know if a vegetarian diet affects the height of a child. The researchers randomly selected 12 vegetarian children that are six years old. The average height of the children is 42.5 inches with a standard deviation of 3.8 inches. The average height for all six year old children is 45.75 inches. Conduct a hypothesis test to determine whether there is overwhelming evidence at a=.05 that six year old vegetarian children are not the same height as other six year old children. Assume that the heights of six year old vegetarian children are approximately normally distributed. d. The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day with a standard deviation of 3.5 miles. She selects a random sample of 49 drivers over the age of 60 and finds that the mean number of miles driven is 22.8. At a = 0.01 is there sufficient evidence that those drivers over 60 years old drive less on average than 24 miles per day? How can you reduce type 2 error, while at the same time increase type 1 error? Provide a scenario/example!