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Chapter Seven Homework F10

# Chapter Seven Homework F10 - AMS 315 Data Analysis Fall...

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AMS 315 Data Analysis Fall Semester, 2010 Chapter Seven Homework Assignment due on Tuesday, October 12, 2010 1. A research team takes a sample of 10 observations from the random variable Y , which has a normal distribution ) , ( 2 σ μ N . They observe 2 . 343 10 = y , where 10 y is the average of the ten sampled observations, and 2 . 415 2 = s , where 2 s is the observed value of the unbiased estimate of 2 , based on the sample values. Test the null hypothesis that 300 : 2 0 = H against the alternative 300 : 2 1 H at the 0.01 level of significance. What is the 95% confidence interval for 2 ? Note that an examination question would either ask for the test or the confidence interval. 2. A research team takes a sample of 8 observations from the random variable Y , which has a normal distribution ) , ( 2 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 , based on the sample values. Test the null hypothesis that 144 : 2 0 = H against the alternative 144 : 2 1 H at the 0.10, 0.05, and 0.01 levels of significance. 3. A research team took a random sample of 15 observations from a normally distributed random variable Y and observed that 1 . 17 15 = y and 7 . 36 2 = Y s , where 15 y is the average of the fifteen sampled observations and 2 Y s is the unbiased estimate of

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Chapter Seven Homework F10 - AMS 315 Data Analysis Fall...

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