b. Using Emily's sample results, what is the best point estimate of the therapists' success rate? c. Using Emily's sample results, construct a 95% confidence interval estimate of the proportion of correct responses made by touch therapists. d. What do the results suggest about the ability of touch therapists to select the correct hand by sensing energy fields? Draw a conclusion about the ability of touch therapists to select the correct hand by sensing energy fields using the results from the previous step in the context of the problem.
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- Use Table V in Appendix A to determine the t-percentile that is required to construct each of the following two-sided confidence intervals: (Express your answers to 3 decimal places.) Confidence level = 95 %, degrees of freedom = 11 , Confidence level = 95% , degrees of freedom = 14 Confidence level = 99 %, degrees of freedom = 12 Confidence level = 99% , degrees of freedom = 10A poll reported that only 1316 out of a total of 1746 adults in a particular region said they had a "great deal of confidence" or "quite a lot of confidence" in the military. Assume the conditions for using the CLT are met. Complete part (a) (a) Find a 95% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the military, and interpret this interval. The 95% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the military is: ( ? , ? )Your company sources motors from two suppliers: supplier A and supplier B. Your application requiresvery high maximum torque. You wish to know if there is a significant difference in maximum torque forthe motors from supplier A vs. supplier B. You sample 10 motors from each supplier and measure themaximum torque. The sample means and sample standard deviations are shown the following table. Is there evidence to conclude that one supplier is better than the other at a 95% confidence level?
- A random sample of 500 males included 215 that approved of the performance of a President. A random sample of 500 females included 185 that approved of the performance of a President. Determine each of the following parts that will lead you to construct a 95% confidence interval for the overall difference in the percentage of males and females that approve of the President's performance. group one males, gorup 2 females Calculate E, the margin of error, for a 95% level of confidence, Create the final confidence interval for the difference in percentagesIn a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among285 trials, the touch therapists were correct 130 times. Construct a 95% confidence interval estimate of the proportion of correct responses made by touch therapists.The data below comes from a university that wanted to see if there was a relationship between High School GPA and College GPA. For each hypothesis test, provide the claim, critical values, test statistic and conclusion.1) Using a 95% level of confidence, test the claim High School GPA’s have a mean of 3.0.2) Using a 95% level of confidence, test the claim College GPA’s have a mean of 3.0.3) Using a 95% level of confidence, test the claim that the majority of students have at least a 3.0 GPA in High School. High School College GPAGPA3.88 3.713.20 2.982.88 2.713.95 3.744.1 4.03.9 3.813.4 3.332.77 2.643.55 3.363.45 3.353.05 2.973.94 3.83.65…
- 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 259A 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 298A 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. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. %University personnel are concerned about the sleeping habits of students and the negative impact on academic performance. In a random sample of 377 U.S. college students, 209 students reported experiencing excessive daytime sleepiness (EDS). Is there sufficient evidence to conclude that more than half of U.S. college students experience EDS? Use a 5% level of significance. What is a 90% confidence interval estimate for the proportion of all of U.S. college students who experience excessive daytime sleepiness? PLAN: State the name of the appropriate estimation procedure (e.g. one-sample t confidence interval for estimating the mean difference). You have already listed the conditions, now check the condition for the normality of the sampling distribution of p-hat for confidence interval estimationRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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