Researchers studying the effect of diet on growth would like to know if a vegetarian diet affects the height of a child. Twelve students are randomly selected that are all 6-years old. The average height of these kids is 42.5 inches with a standard deviation of 3.8 inches. The average height of all 6-year old kids is found to be 45.75 inches. Conduct a hypothesis test to determine if there is overwhelming evidence at alpha = .05 that 6-year old vegetarian kids are not the same height as other six year-old kids. Determine the critical values, test statistic and any specific information from the problem.

2.12 school absences. data collected at elementary schools in dekalb county, ga suggest that each year roughly 25% of students miss exactly one day of school, 15% miss 2 days, and 28% miss 3 or more days due to sickness.61 (a) what is the probability that a student chosen at random doesn’t miss any days of school due to sickness this year? (b) what is the probability that a student chosen at random misses no more than one day? (c) what is the probability that a student chosen at random misses at least one day? (d) if a parent has two kids at a dekalb county elementary school, what is the probability that neither kid will miss any school? note any assumption you must make to answer this question. (e) if a parent has two kids at a dekalb county elementary school, what is the probability that both kids will miss some school, i.e. at least one day? note any assumption you make.