5-11

Prob/Stat Unit 6 Project- Sampling Distributions You should use your calculator or a spreadsheet to do the calculations you need, be sure to explain what you did to get your answers. 1. What is your population (including copies of your data)? (20 points) My population is all the kids from periods two, three, four, and five probability and statistics classes. 2. What are your two parameters? (20 points) 1. The proportion of prob/stats kids of how many times they ate out was 2.561. 2. 16/74 people in all of the pob/stats classes had Chinese food that week. For the next nine questions, assume you are taking an SRS of n=35 from your population. 3. Calculate the mean of the sampling distribution of P . (10 points) Mean: 0.2162 4. Calculate and interpret the standard deviation of P . (20 points) Standard Deviation: 0.0696 5. Will the sampling distribution of P be approximately normal? Explain how you know. (20 points) 6. If the answer to number 5 was yes, what is the probability that an SRS of n=35 will give a result within 3 percent of the true population parameter? If your answer to number 5 was no, skip this question. (20 points) 7. What would happen to the sampling distribution of P if we took an SRS of n=50 instead of n=35? (20 points) 8. Calculate the mean of the sampling distribution of .X . (10 points) 9. Calculate and interpret the standard deviation of x . (20 points) 10. Will the sampling distribution of X be approximately normal? Explain how you know. (20 points) 11. What value of X marks the 95th percentile of your sampling distribution? (20 points)