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1. The standard deviation of the diameter at breast height, or DBH, of the slash pine tree is less than one inch. Identify the Type I error. (Points : 1) Fail to support the claim σ < 1 when σ < 1 is true. Support the claim μ < 1 when μ = 1 is true. Support the claim σ < 1 when σ = 1 is true. Fail to support the claim μ < 1 when μ < 1 is true. 2. Use the following sample sizes and numbers of successes for this question. Medical researchers reviewing the risk of death for elderly patients taking dementia drugs found the following data. Assume a .05 significance level for testing the claim that the proportions are not equal. Also, assume the two simple random samples are independent and that the conditions np ≥ 5 and nq ≥ 5 are satisfied. Dementia Drugs Placebo Number of patients 500 450 Total deaths 23 12 Construct a 95% confidence interval estimate of the odds ratio of the odds for death in the placebo group to the odds for death in the dementia drugs group. Give your answer with two decimals, e.g., (12.34,56.78) (Points : 0.5) 3. Ophthalmologists studying the treatment of using an infrared laser procedure in ten patients with vision loss caused by dry age-related macular degeneration (AMD) found the following data on visual acuity (VA) before and after the procedure. Assume a .05 significance level to test the claim that there is a difference between the number of VA lines that can be read by individuals before and after the procedure. Also, assume the data consist of matched pairs, the samples are simple random samples, and the pairs of values are from a population having a distribution that is approximately normal. Individual 1 2 3 4 5 6 7 8 9 10 VA Lines Read Before 3 4 2 4 5 3 4 5 3 3 Laser Procedure VA Lines Read After 4 4 5 5 6 3 7 6 3 5 Laser Procedure Find the t test statistic. Give your answer with two decimals, e.g., 9.87 . (Points : 0.5)
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