SAMPLING DISTRIBUTIONS CHAPTER 7 . Launch the Reese's Piecesapplet at www.rossmanchance.com/applets Make sure the Probability of orange = 0.5, Number of candies (sample size) S and Number of samples = 1. Choose "Proportion of orange" as the statist to be calculated and check the box for Summary stats to be calculated shown in the screen shot for Step 2. . Click on the "Draw Samples" button. An animated simple random sample or n = 25 candies should be dispensed. The following screen shot shows the results of one such sample where the sample proportion of orange candies was p = 0.360. How far was your sample proportion of orange candies from the actual population proportion, p = 0.50? Reese's Pieces@ Probability of orange /0.5 Number of candies 25 Number of samples 1 Animate Draw Samples Total = 1 O Number of orange 888000 88888888 Proportion of orange Most recent p = 0.360 As extreme as 2 Count Summary Stats 3. Click "Draw Samples" 9 more times so that you have a total of 10 sample proportions. Look at the dotplot of your p values. What is the mean of your 10 sample proportions? What is their standard deviation? 4. To take many more samples quickly, enter 990 in the "Number of samples" box. Click on the "Animate" box to turn the animation off. Then click "Draw Samples." You have now taken a total of 1000 samples of 25 candies from the machine. Describe the shape, center, and variability of the approximate sampling distribution of p shown in the dotplot. 5. How does the sampling distribution of p change if the proportion of orange candies in the machine is different from p = 0.5? Use the applet learned. to investigate this question. Then write a brief summary of what you 6. How does the sampling distribution of p change if the machine dispenses a different number of candies (n)? Use the applet to investigate this question. Then write a brief summary of what you learned. 7. For what combinations of n and p is the sampling distribution of p approximately of what you learned. Normal? Use the applet to investigate this question. Then write a brief summary