Q1) "Average" Martian has IQ of 120 and standard deviation of 10. If average IQ was increased to 140 by use of new technology, but standard deviation was increased to 40, determine the overall effect on their society? Would this change be a good thing?
Q2) Weights of professional baseball players follow normal distribution with mean of 195 pounds and standard deviation of 22 pounds. Determine probability that randomly chosen professional baseball player weighs more than 250 pounds. Compute your answer to 4 decimal places.
Q3) Random sample of 150 third grade classes had mean class size of 34.1 students with SD of 2.9 students. Determine the margin of error associated with a 99% confidence interval for mean class size for all third grades. Compute your answer to 2 decimal places.