**Unformatted text preview: **Assignment 4 Due date: 16 November 2009 Total number of points: 27 Q 1. (6.39) In a natural population of mice near Ann Arbor, Michigan, the coats of some individuals are white-spotted on the belly. In a sample of 580 mice from the population, 28 individuals were found to have white-spotted nellies. Construct 95% confidence interval for the population proportion of this trait. Q 2. Nine measurements of ozone concentration are obtained during a year: 3.5 5.1 6.6 6.0 4.2 4.4 5.3 5.6 4.4 Assuming the measurements come from a normal population, provide two 95% confidence intervals for the population mean μ : (a) one assuming that the population variance σ 2 = 1 . 21; (b) another relaxing this assumption . (c) For the situation in part (b), test H : μ = 5 . 74 against H A : μ 6 = 5 . 74 taking α = 0 . 05. (You have to use confidence intervals to answer this here). Q 3. Recall Question 2. Provide two respective 99% confidence intervals. Comment on the difference between the confidence intervals in Question 2 and this question.confidence intervals in Question 2 and this question....

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