Discuss the below:
Q1: The weight of bags "checked in" is normal, with a mean of 30 pounds and a standard deviation of 9 pounds.
a) What is the probability that a randomly selected bag will weigh more than 48 pounds?
b) What is the probability that the total weight of 4 bags will be more than 192 pounds?
c) Find the probability that a sample of 81 bags will average more than 32 pounds.
d) If a sample of 36 bags showed the mean to be 33 pounds, can you conclude that the average weight has changed? (use alpha = 0.05)
Q2: Test the hypothesis that more than 60 percent of the U.S. senators (of a total 100 senators) favor the president's economic plan, if a sample of 40 showed that 22 favor the plan (use alpha = .05).