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Consider an environmentalist examines two forests, forest A and forest B. The proportion of maple trees in forest A is .38, and the proportion of maple trees in forest B is .24. Consider a sample of 35 trees from each forest is collected and we are interested in examining Pa, which is the sample proportion of maple trees from forest A, and Pg, which is the sample proportion of maple trees from forest B. a) Using the guideline discussed in class verify that the sample size is large enough in each forest for the normal approximation of the binomial distribution to be valid. b) What is the approximate distribution of PA, and PR,? Include the mean and variance. c) What is the approximate distribution of U = PA - Pg?

Consider an environmentalist examines two forests, forest A and forest B. The proportion of maple trees in forest A is .38, and the proportion of maple trees in forest B is .24. Consider a sample of 35 trees from each forest is collected and we are interested in examining Pa, which is the sample proportion of maple trees from forest A, and Pg, which is the sample proportion of maple trees from forest B. a) Using the guideline discussed in class verify that the sample size is large enough in each forest for the normal approximation of the binomial distribution to be valid. b) What is the approximate distribution of PA, and PR,? Include the mean and variance. c) What is the approximate distribution of U = PA - Pg?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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Consider an environmentalist examines two forests, forest A and forest B. The proportion of maple trees in forest A is .38, and the proportion of maple trees in forest B is .24. Consider a sample of 35 trees from each forest is collected and we are interested in examining Pa, which is the sample proportion of maple trees from forest A, and Pg, which is the sample proportion of maple trees from forest B. a) Using the guideline discussed in class verify that the sample size is large enough in each forest for the normal approximation of the binomial distribution to be valid. b) What is the approximate distribution of PA, and PR,? Include the mean and variance. c) What is the approximate distribution of U = PA – Pg?
Transcribed Image Text:Consider an environmentalist examines two forests, forest A and forest B. The proportion of maple trees in forest A is .38, and the proportion of maple trees in forest B is .24. Consider a sample of 35 trees from each forest is collected and we are interested in examining Pa, which is the sample proportion of maple trees from forest A, and Pg, which is the sample proportion of maple trees from forest B. a) Using the guideline discussed in class verify that the sample size is large enough in each forest for the normal approximation of the binomial distribution to be valid. b) What is the approximate distribution of PA, and PR,? Include the mean and variance. c) What is the approximate distribution of U = PA – Pg?
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