You have two large bins of several thousand plastic beads. Bin A is 60% red beads, Bin B is 54% red beads. Suppose you select a random sample of 80 beads from each bin and calculate PA the proportion...

Extracted text: You have two large bins of several thousand plastic beads. Bin A is 60% red beads, Bin B is 54% red beads. Suppose you select a random sample of 80 beads from each bin and calculate PA the proportion of red beads in the sample from Bin A and Pg the proportion of red beads in the sample from Bin B. (a) What is the mean and standard deviation of the sampling distribution of P-P (b) Calculate the probability that your random sample from bin B has a higher proportion of red beans than your random sample from bin A (c) Should we be surprised if your random sample from bin B has a higher proportion of red beans than your random sample from bin A?