Copy and paste the problems below into a Word Processing program (such as Word or Google Docs). Answer the questions and then upload your responses to Canvas. Submit your word doc or pdf to the Final Project Submission page. If you completed this option, you do not need to complete options 2 or 3. 1. Sleep Apnea and Gum Disease Sleep apnea is a disorder in which you have one or more pauses in breathing or shallow breaths while you sleep. In a cross-sectional study of 320 individuals who suffer from sleep apnea, it was found that 192 had gum disease. Note: In the general population, about 17.5% of individuals have gum disease. Source: Seo, WH et al. The Association between Periodontitis and Obstructive Sleep Apnea: A Preliminary Study. J Periodontal Res 2013 Aug; 48(4) (a) What does it mean for this study to be cross- sectional? (b) What is the variable of interest in this study? Is it qualitative or quantitative? Explain. (c) Verify the requirements for constructing a confidence interval for the proportion of individuals with sleep apnea who have gum disease are satisfied. (d) Construct and interpret a 95% confidence interval for the proportion of individuals with sleep apnea who have gum disease. (e) Suppose you wanted an interval with more precision. Name two things that could be done to Previous Next Dashboard Calendar To Do Notifications Inbox (e) Suppose you wanted an interval with more precision. Name two things that could be done to increase the precision of the interval. 2. Crash Test Results The following data represent the repaircost for a low-impact collision in a simple random sample of mini- and micro- vehicles (such as the Chevrolet Aveo or Mini Cooper). $3148 $1758 $1071 $3345 $743 $2057 $663 $2637 $773 $1370 Source: Insurance Institute for Highway Safety (a) Draw a normal probability plot to determine if it is reasonable to conclude the data come from a population that is normally distributed. Include the graph. (b) Draw boxplot to check for outliers. Copy and paste the graph. (c) Construct and interpret a 95% confidence interval for the population mean cost of repair. (d) Suppose you obtain a simple random sample 10 Mini Coopers that were in a low-impact collision and determine the cost of repair. Do you think a 95% confidence interval would be wider or narrower? Explain. Previous D Next