There are 3 yellow, 3 green, and 3 red pens in a jar. Each day Michelle selects a pen without looking, uses the pen, and then replaces it in the jar. Over 14 days she selects a red pen 6 times. Compare the theoretical and experimental probabilities of this experiment. (Hint: Calculate the theoretical probability and experimental probability
separately)

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.