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 P the proportion of red beads in the sample from Bin A and P the proportion of red beads in the sample from Bin B. (a) What is the mean and standard deviation of the sampling distribution of PA-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?
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 P the proportion of red beads in the sample from Bin A and P the proportion of red beads in the sample from Bin B. (a) What is the mean and standard deviation of the sampling distribution of PA-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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image 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?
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