The standard deviation of the diameter at breast height, or DBH, o.docx
- 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. 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 Find the z test statistic. Give your answer with two decimals, e.g., 9.87 . (Points : 0.5) Question 3 of 10Ophthalmologists 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
- 2. 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
- 3. VA Lines Read After 4 4 5 5 6 3 7 6 3 5 Laser Procedure Construct a 95% confidence interval estimate of the mean difference between the before and after number of visual acuity lines read. Give your answer with two decimals, e.g., (12.34,56.78) (Points : 0.5) Question 4 of 10Given: There is a significant linear correlation
- 4. between the numerical abundance of floating insects in a certain river and the number of insect-eating fish in the river. Identify the choice that contains a conclusion with a common correlation error. (Points : 1) Conclusion: r results in a value close to 1 Conclusion: an increase in floating insects is related to an increase in insect-eating fish Conclusion: r results in a value close to -1 Conclusion: an decrease in floating insects causes a decrease in insect-eating fish Use a .05 significance level and the observed frequencies of 70 Neonatal deaths to test the claim that number of neonatal deaths on each day of the week is equally likely. Mon Tues Wed Thurs Fri Sat Sun 10 9 5 8 15 12 11 Determine the value of the χ2 test statistic. Give your answer to two decimals, e.g., 12.34 . (Points : 0.5) _____________________________________________________
- 5. _______________________________ 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 Male Female Favor Pro-Choice 65 120 Oppose Pro-Choice 42 38 Do you reject the null hypothesis, at the .01 significance level? Enter Y for yes (reject), N for no (fail to reject). (Points : 0.5) 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.
- 6. Immune Modulator Cream Cure No Cure Topical Steroid Cure 25 11 Cream No Cure 42 22 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) Geneticists studying carriers of genetic diseases followed subjects subdivided by race. Researchers randomly selected seven patients per race who had been identified as carrying a certain gene for a genetic disease; these patients were followed to determine the number of their siblings who also carried the gene for the genetic disease. Use a One-Way ANOVA at a .05 significance level to test the claim that the means from the different races are not all the same. Caucasian African-American Other 2 0 0 3
- 7. 0 1 3 1 2 3 2 2 4 2 2 5 2 3 5 4 4 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) Question 9 of 10Assuming calculations for a One-Way ANOVA with equal sample sizes, if each data value in one of the samples is increased by a fixed amount, then any change in the F test statistic and the P-value is attributable only to the change in the sample variances. (Points : 1) True False
- 8. 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 Df SS MS F P Site 2 .1905 .0952 .0381 .9627 Habitat 1 304.0238 304.0238 121.6095 .0000 Site*Habitat 2 .1905 .0952 .0381 .9627 Do you reject the null hypothesis anbout the habitat effect, at
- 9. the .05 significance level? Enter Y for yes (reject), N for no (fail to reject). (Points : 0.5) Assignment Brief The strength of a country’s economy can be determined through careful examination of macroeconomic indicators such as real GDP, real GDP growth rate, real GDP per capita, unemployment rate and inflation rate. In your essay, analyse the economic performance of ONE (1) country, over the last decade (from 2005 to 2014), using data on the macroeconomic indicators; argue whether you think the performance is strong or weak. Your analysis should include an in-depth discussion on the performance of the economy and provide explanations for economic results as revealed by the macroeconomic indicators; where appropriate, you should also explain how the policies of the government aim to achieve full employment, stable price and/or economic growth. Support your evaluation with researched evidence.
- 10. More marks will be awarded for reports which provide more detailed discussion and in-depth analysis. The essay shall be about 2,000 words (+/- 10%). Assignment Format The essay should be presented in the following format. Sections Introduction Production output performance analysis analysis fine and explain how each indicator above measures performance of the economy achieve the production output performance Labour market analysis unemployment in an economy
- 11. chosen economy explain Government’s measures adopted to achieve full employment Price level analysis ) of inflation in the chosen economy stable price Conclusion Assignment Style All sources referred to in your essay, including any diagrams, must be referenced to in-text and be included in a full reference list at the end of the assignment, according to the APA system of referencing -written.
- 12. style.