AST 311 Homework $ List, page 1 of 4 Problem 1) In this problem you will use an
ID: 3131783 • Letter: A
Question
AST 311 Homework $ List, page 1 of 4 Problem 1) In this problem you will use an online mini-program or applet to take samples of Reese's Pieces like we did in class for M&Ms; but M faster. applet to take samples of Reese's Pieces like we did in class for M&Ms; but MUCH Briefly, you select a SRS (simple random sample) of candy from the population of Reese's Pieces in the applet, and note the proportion of ORANGE candies, p . same idea as what you did in class for the SRS of M&Ms; and finding the proportion of blue candies. The applet does all of this automatically. So instead of you selecting just one sample,you can select 500 samples in a few seconds. For each sample the applet finds the proportion of orange candies and incorporates it into a graph. You can see the pattern of values for 2, which is the sampling distribution of p. Reeses Pieces Detailed instructions for using the applet are in a separate document in the Homework 5 module in Canvas Probability of orange 0 45 Problem 1) Using the Reese's Pieces applet, make three sampling distributions for the sample proportion of orange candies, p: Number of candies 25 Number of samples 500 Animate Dran Samgles Total 0 1) Do Sampling Distribution 1 Set Probability of orange to 0.45 (this is parameter ) Number of candies to 25 (this is n, the number of candies in one sample) Number of samples to 500. (this is number of samples to select) Proportion of orange Other settings as shown at right Draw samples * Number of orange As extreme as -court Summary Stats Two-tailed (betweenO Exact Binomial Fill in the table on next page a) How well does the curve appear to model the sample proportions?Normal Approxmation b) Record the mean and standard deviation as reported by the applet ResetExplanation / Answer
Apprxy normal, Apprxy normal Apprxy normal
Mean = 11.25 33.75 2.5
Var = 6.1875 18.5625 2.25
STd dev 2.487 4.3084 1.5