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Unformatted text preview: 122 CHAPTER 8. CONFIDENCE INTERVALS male Swedes are surveyed. The sample mean is 71 inches. The sample standard deviation is 2.8 inches. a. i. x = ________ ii. = ________ iii. s x = ________ iv. n = ________ v. n- 1 = ________ b. Define the Random Variables X and X , in words. c. Which distribution should you use for this problem? Explain your choice. d. Construct a 95% confidence interval for the population average height of male Swedes. i. State the confidence interval. ii. Sketch the graph. iii. Calculate the error bound. e. What will happen to the level of confidence obtained if 1000 male Swedes are surveyed instead of 48? Why? Exercise 8.2 In six packages of The Flintstones Real Fruit Snacks there were 5 Bam-Bam snack pieces. The total number of snack pieces in the six bags was 68. We wish to calculate a 96% confidence interval for the population proportion of Bam-Bam snack pieces. a. Define the Random Variables X and P , in words. b. Which distribution should you use for this problem? Explain your choice c. Calculate p . d. Construct a 96% confidence interval for the population proportion of Bam-Bam snack pieces per bag. i. State the confidence interval. ii. Sketch the graph. iii. Calculate the error bound. e. Do you think that six packages of fruit snacks yield enough data to give accurate results? Why or why not? Exercise 8.3 (Solution on p. 135.) A random survey of enrollment at 35 community colleges across the United States yielded the following figures (source: Microsoft Bookshelf ): 6414; 1550; 2109; 9350; 21828; 4300; 5944; 5722; 2825; 2044; 5481; 5200; 5853; 2750; 10012; 6357; 27000; 9414; 7681; 3200; 17500; 9200; 7380; 18314;...
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