A matched case control study was conducted to evaluate the cumulative effects of acrylate and methacrylate vapoors on olfactory function (Schwarts et al. 1989) Cases were defined as scoring at or below the 10th percentile on the UPSIT (University of Pennsylvania Smell Identification Test). Results are shown in the following Table: Controls Cases Exposed Unexposed Exposed 25 Unexposed 22 21 6. (a) Find a 95% confidence interval for the odds ratio measuring the strength of the relationship between the discase and the exposure. (b) Test for the independence between the discase and the exposure.
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- Nielsen Media Research conducted a study of household television viewing time during the 7PM to 10PM time period (This is known as Prime Time). The average weekly time spent watching was 785 minutes. This was based off 600 randomly selected households. Based upon past studies the population standard deviation is known to be 65 minutes. Develop an 80% confidence interval for the average time Americans watched prime-time TV this week.A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 33 students' scores on the exam after completing the course: −6,11,18−6,11,18 Using these data, construct a 90%90% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Copy Data Step 4 of 4 : Construct the 90%90% confidence interval. Round your answer to one decimal place.A company that manufactures baseball bats believes that its new bat will allow players to hit the ball 30 feet farther than its current model. The owner hires a professional baseball player known for hitting home runs to hit ten balls with each bat and he measures the distance each ball is hit to test the company's claim. The results of the batting experiment are shown in the following table. Construct a 90 % confidence interval for the true difference between the mean distance hit with the new model and the mean distance hit with the older model. Assume that the variances of the two populations are the same. Let Population 1 be the distances of balls hit with the new model baseball bat and Population 2 be the distances of balls hit with the old model. Round the endpoints of the interval to one decimal place, if necessary. Hitting Distance (in Feet) New Model Old Model 215 234 202 298 224 294 211 246 215 268 248 211 255 226 228 284 247 221 214 259
- In a sample of seven cars, each car was tested for nitrogen oxide emissions (in grams per mile). The results appear below. Assuming that nitrogen oxide emissions are normally distributed, 4. Car 1 2 3 4 5 6 7 Nitrogen oxide emission (g/mi) 0.13 0.18 0.15 0.09 0.12 0.18 0.08 a. Construct a 95% confidence interval for the mean amount of nitrogen oxide emissions for all cars. b. What effect would increasing the level of confidence have on the length of the interval?A random sample of high school seniors were asked whether they were applying for college. The resulting confidence interval for the proportion of students applying for college is (0.65,0.69). What is the margin of error?A company has analysed data for a sample of employees who have undertaken training designed to improve their performance in completing a timed task. For each employee in the sample, data shows the time taken to perform the task before training and the time taken post training. The data was used to construct a 95% confidence interval for the mean difference in time taken (before - after), and the interval was (6,10) minutes. Which of the following inferences is correct? Select one: a.The confidence interval indicates that there could be no difference, on average, between the time it takes to perform the task after training and before training. b.We are 95% confident that the time taken to perform the task is lower after training than before training, on average. c.We are 95% confident that the mean reduction in the time taken to perform the task after training is 8 minutes. d.We are 95% confident that everyone doing the training will then be able to perform the task at least 6…
- In August 2005, researchers for the American Society for Microbiology and the Soap and Detergent Association monitored the behavior of more than 6300 users of public restrooms. They observed people in public venues such as Turner Field in Atlanta and Grand Central Station in New York City. They found that 2393 of 3206 men washed their hands, compared to 2802 of 3130 women. For each gender, construct a 99% confidence interval for the population proportion who wash their hands in public restrooms. (4 decimals)In order to determine if weather conditions play a significant role in how a disease effects wheat, fields of wheat are exposed to this disease over three consecutive summers, 2002-2004. The fields are later rated on a scale of 0.0 (resistant) to 10.0 (susceptible) based on how the disease has infected the field. The results are shown below along with the ANOVA table. At the 95% confidence level, compare the mean scores across the three years. 2002 2003 2004 7 7.3 5 4.7 8 3 8 5 2 3.3 3.3 7 6.3 4.7 7.3 7 3.7 8 7 4.3 6. 7 4.3 2 6.3 6.7 ANOVA Source of Variation df MS Treatment 20.97333 2 10.48667 4.127165 Error 76.22667 30 2.540889 Total 97.2 32A study of 420,039 cell phone users found that 131 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0443% for those not using cell phones. Complete parts (a) and (b). ..... a. Use the sample data to construct a 95% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. • D%A company that manufactures baseball bats believes that its new bat will allow players to hit the ball 30 feet farther than its current model. The owner hires a professional baseball player known for hitting home runs to hit ten balls with each bat and he measures the distance each ball is hit to test the company's claim. The results of the batting experiment are shown in the following table. Construct a 90 % confidence interval for the true difference between the mean distance hit with the new model and the mean distance hit with the older model. Assume that the variances of the two populations are the same. Let Population 1 be the distances of balls hit with the new model baseball bat and Population 2 be the distances of balls hit with the old model. Round the endpoints of the interval to one decimal place, if necessary. Hitting Distance (in Feet) New Model 246 240 272 262 237 250 247 235 261 216 Old Model 293 232 299 279 239 228 256 292 272 298An environmental health officer has been asked about levels of radon in homes in a particular county. As an initial step to forming a response to this inquiry, the officer plans to randomly select 20 homes in the county. The level of radon in each of the 20 homes will be measured, and the sample mean, x̅, and the sample standard deviation, s, will be calculated. Using these values, a 90% confidence interval will be constructed for the mean radon level for all homes in the county. Which of the following is the correct value of "t" for forming a confidence interval? a) 1.645 b) 1.328 c) 1.325 d) 1.725 e) 1.729A study of 420,097 cell phone users found that 137 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0311% for those not using cell phones. Complete parts (a) and (b). .... a. 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