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Homework Chapters 1 through 6 F10

# Homework Chapters 1 through 6 F10 - Homework Chapters 1...

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Homework Chapters 1 through 6, due Tuesday, October 5, 2010. The first seven problems are like examination problems. The last three problems are from your text. 1. A research team takes a random sample of size 25 from the random variable Y , which is ) 100 , ( 2 μ N . They observe that 541 25 = y . Test the null hypothesis that 500 ) ( : 0 = Y E H against the alternative 500 ) ( : 1 Y E H at the 0.10, 0.05, and 0.01 levels of significance. Calculate the 95% confidence interval for μ . 2. A research team wishes to test the null hypothesis that a dependent variable Y has 500 ) ( = Y E with standard deviation 100 at the 0.01 level of significance against the alternative that 500 ) ( Y E . They want the probability of a Type II error to be 0.01 when 550 ) ( = Y E with standard deviation 100. How many independent observations n are needed? 3. A research team takes a sample of 8 observations from the random variable Y , which has a normal distribution ) , ( 2 σ μ N . They observe 2 . 563 8 = y , where 8 y is the average of the eight sampled observations and 2 . 453 2 = s is the observed value of the unbiased estimate of 2 σ , based on the sample values. Test the null hypothesis that 600 ) ( : 0 = Y E H against the alternative 600 ) ( : 1 Y E H at the 0.10, 0.05, and 0.01 levels of significance. 4. A research team took a random sample of 8 observations from a normally distributed random variable Y and observed that 8 . 64 8 = y and 2 . 12 2 = Y s , where 8 y is the average of the eight observations sampled from Y and 2 Y s is the unbiased estimate of ) var( Y . A second research team took a random sample of 6

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Homework Chapters 1 through 6 F10 - Homework Chapters 1...

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