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 < 1 when < 1 is true. Support the claim < 1 when = 1 is true. Support the claim < 1 when = 1 is true. Fail to support the claim < 1 when < 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 500 23 Number of patients Total deaths 450 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 VA Lines Read Before Laser Procedure VA Lines Read After Laser Procedure 1 3 2 4 3 2 4 4 5 5 6 3 7 4 8 5 9 10 3 3 4 4 5 5 6 3 7 6 3 Find the t test statistic. Give your answer with two decimals, e.g., 9.87 . (Points : 0.5) 5 4. Given: There is a linear correlation coefficient very close to 0 between mothers who smoked during pregnancy and the incidence of influenza in their babies. Identify the choice below that contains a conclusion with a common correlation error. (Points : 1) Conclusion: the frequency of mothers' smoking is not related in any way to the incidence of influenza in their babies Conclusion: an increase in the frequency of mothers' smoking is not linearly related to an increase in the incidence of influenza in their babies Conclusion: a decrease in the frequency of mothers' smoking is not linearly related to a decrease in the incidence of influenza in their babies Conclusion: there is not a linear relationship between the frequency of mothers' smoking and the incidence of influenza in their babies 5. Use a .05 significance level and the observed frequencies of 144 drownings at the beaches of a randomly selected coastal state to test the claim that the number of drownings for each month is equally likely. Jan Feb 1 Mar 3 Apr 2 May June July Aug Sept Oct Nov Dec 7 14 20 37 33 16 6 2 3 Do you reject the null hypothesis, at the .05 significance level? Enter Y for yes (reject), N for no (fail to reject). (Points : 0.5) 6. Using a .01 significance level, test the claim that the proportions of people who favor/oppose pro-choice on the abortion issue are the same for the males and females. Gender Favor Pro-Choice Oppose Pro-Choice Male 65 42 Female 120 38 Determine the value of the 2 test statistic. Give your answer to two decimals, e.g., 12.34 . (Points : 0.5) 7. The table represents results from an experiment with patients afflicted with eczema on both arms. Each patient was treated with an immune modulator cream on one arm and a topical steroid cream on the other arm. Using a .05 significance level, apply McNemar's test to test the following claim: The proportion of patients with no cure on the immune modulator treated arm and a cure on the topical steroid treated arm is the same as the proportion of patients with a cure on the immune modulator treated arm and no cure on the topical steroid treated arm. Topical Steroid Cream Cure No Cure Immune Modulator Cream Cure 25 42 No Cure 11 22 Determine the value of the 2 test statistic. Give your answer to two decimals, e.g., 12.34 (Points : 0.5) 8. For a study on Type 1 diabetes, medical graduate students subdivided the United States into four study regions (Northeast, Southeast, Southwest, and Northwest). The students randomly selected seven patients per region and recorded the number of times during a randomly selected month that each patient used insulin shots to regulate blood sugar levels. Use One-Way ANOVA at a .05 significance level to test the claim that the means from the different regions are not the same. Mean number of times patients used insulin shots to regulate blood sugar levels Northeast Southeast Southwest Northwest 4 6 4 4 3 5 5 4 3 6 6 5 4 8 6 6 3 6 7 3 2 6 5 5 5 8 4 3 Determine the value of the F test statistic. Give your answer to two decimals, e.g., 12.34 . (Points : 0.5) 9. One method to reduce the effect of extraneous factors is to design the experiment so that it has a convenience sampling design. (Points : 1) True False 10. Use the following technology display from a Two-Way ANOVA to answer this question. Biologists studying habitat use in Lepidopteran moths measured the number of savannah moths found at three randomly selected prairie sites with two potential habitat interferences (expansion of row crops and grazing). Use a .05 significance level. Source Site Habitat Site*Habitat Df 2 1 2 SS MS .1905 304.0238 .1905 F .0952 304.0238 .0952 .0381 121.6095 .0381 P .9627 .0000 .9627 Do you reject the null hypothesis about the site effect, at the .05 significance level? Enter Y for yes (reject), N for no (fail to reject). (Points : 0.5)