Chapter 23 PracticeName ________________Math 207 Intro to StatsPractice Chapter 23Answer the following question using your notes from class.1. One hundred draws are made at random with...

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Chapter 23 Practice Name ________________ Math 207 Intro to Stats Practice Chapter 23 Answer the following question using your notes from class. 1. One hundred draws are made at random with replacement from a box. a. If the sum of the draws is 7,511, what is their average? b. If the average of the draws is 73.94, what is their sum? 2. A box of tickets averages out to 75, and the SD is 10. One hundred draws are made at random with replacement from this box. a. Find the chance (approximately) that the average of the draws will be in the range 65 to 85. b. Repeat, for the range of 74 to 76. 3. One hundred draws will be made at random with replacement from a box of tickets. The average of the numbers in the box is 200. The SE for the average of the draws is computed, and turns out to be 10. True or False: Explain. a. About 68% of the tickets in the box are in the range 190 to 210? b. There is about a 68% chance for the average of the hundred draws to be in the range 190 to 210. 4. You are drawing at random with replacement from a box of numbered tickets. a. The expected value for the average of the _______equals the average of the _____ (box, draws) b. As the number of draws goes up, the SE for the _______of the draws goes up but the SE for the _______ of the draws goes down. (sum, average) 5. A box contains 10,000 tickets. The number of these tickets average out to 50, and the SD is 20. a. One hundred tickets are drawn at random with replacement. The average of these draws will be around _________give or take _________or so. b. What if 100 draws are made without replacement? c. What if 100 draws are made without replacement, and there are only 100 tickets in the box? 6. Two hundred draws are made at random with replacement from [ 1 2 2 3] True or False and explain: a. The expected value for the average of the draws is exactly 2. b. The expected value for the average of the draws is around 2 give or take 0.05 or so. c. The average of the draws will be around 2 give or take 0.05 or so. d. The average of the draws will be exactly 2. e. The average of the box is exactly 2. f. The average of the box is around 2, give or take 0.05 or so. 7. Match each phrase on list A with one on list B. LIst A List B population draws population average Average of the box sample box Sample average Number of draws Sample size Average of the draws. 8. A university has 30,000 registered students. As part of a survey, 900 of these students are chosen at random. The Average age of the sample students turns out to be 22.3 years, and the SD is 4.5 years. a. The average age of all 30,000 students is estimated as ________. This estimate is likely to be off by ______or so. b. Find a 95% confidence interval for the average age of all 30,000 registered students. 9. Fill in the table, for draws made at random with replacement from the box [0 2 3 4 6] # of draws EV for sum SE for sum EV for avg SE for avg 25 100 400