Researchers want to test a new hand exercise plan forarthritis patients to see if they have improved flexibility.They recruited 110 patients with arthritis in their handsand randomly assigned them to one of two treatmentgroups: group 1 took their regular medicine and did thenew hand exercises; and group 2 only took medicine.After one month, 42 of the 55 in group 1 improved in theirflexibility, and 37 of the 55 in group 2 improved theirflexibility.Check the conditions for constructing a confidenceinterval for the difference in proportions.Random condition: V met10% condition:Large Counts condition:Are all the conditions for inference met?

Given in the question: Group 1: n1 = 55 x1 = Number of patients with arthritis in their hands…

Answered: Researchers want to test a new hand…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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A personal trainer wanted to test the effectiveness of two different workout routines. She took a random sample of 70 of her clients and, in a random order, had them complete one of the two routines for two weeks. Then, after a one-month waiting period, she asked them to come back and do the other routine for two weeks. After each two-week period of the exercise routines, she measured their performance on a physical fitness aptitude test. She found the average difference in aptitude scores between the two routines for each client was 30.4 with a standard error of 3.2. What would be her 85% confidence interval for the average difference in the effectiveness of the two routines? (3 decimal places) ( , )
Many young men in North America and Europe (but not in Asia) tend to think they need more muscle to be attractive. One study presented 200 young American men with 100 images of men with various levels of muscle. Researchers measure level of muscle in kilograms of fat‑free body mass per square meter of body surface area (kg/m2). Typical young men have about 20 kg/m2.. Each subject chose two images, one that represented his own level of body muscle and one that he thought represented "what women prefer." The mean gap between self‑image and "what women prefer" was 2.35 kg/m2.. Suppose that the "muscle gap" in the population of all young men has a Normal distribution with standard deviation 2.5 kg/m2.. If young men thought that their own level of muscle was about what women prefer, the mean "muscle gap" in the study would be 0. We suspect (before seeing the data) that (most) young men tend to think women prefer more muscle than they themselves have. What is the value of the test…
Many young men in North America and Europe (but not in Asia) tend to think they need more muscle to be attractive. One study presented 196 young American men with 100 images of men with various levels of muscle. Researchers measure level of muscle in kilograms per square meter (kg/m2) of fat-free body mass. Typical young men have about 20 kg/m2. Each subject chose two images, one that represented his own level of body muscle and one that he thought represented “what women prefer.” The mean gap between self image and “what women prefer” was 2.35 kg/m2. Suppose that the muscle gap in the population of all young men has a normal distribution with standard deviation 2.5 kg/m2. a) State the value that will be used to estimate the unknown population mean. b)What is the critical z value for a 95 percent confidence interval for the mean amount of muscle young men think they should add to be attractive to women. (Enter answer to 2 decimal places) c)Calculate the margin of error for a 95…
A dermatologist compared a new treatment for athlete’s foot (the experimental condition) to the standard treatment (the control condition). He tracked down 30 people with athlete’s foot on both feet and, for each participant, randomly assigned one foot to receive the new treatment and the other foot to receive the standard treatment. After three weeks of treatment, he measured the percent- age of reduction in symptoms (the larger the number, the better the outcome). He found ME = 88, MC = 72, and sD = 8.65.
Many young men in North America and Europe (but not in Asia) tend to think they need more muscle to be attractive. One study presented 200 young American men with 100 images of men with various levels of muscle. Researchers measure level of muscle in kilograms per square meter of body surface area (kg/m²). Typical young men have about 20 kg/m2. Each subject chose two images, one that represented his own level of body muscle and one that he thought represented "what women prefer." The mean gap between self-image and "what women prefer" was 2.35 kg/m². Suppose that the "muscle gap" in the population of all young men has a Normal distribution with standard deviation 2.5 kg/m2. Give a 90% confidence interval for the mean amount of muscle young men think they should add to be attractive to women. (They are wrong: women actually prefer a level close to that of typical men.) Give your answers to four decimal places. lower limit: kg/m? upper limit: kg/m2
Many young men in North America and Europe (but not in Asia) tend to think they need more muscle to be attractive. One study presented 200 young American men with 100 images of men with various levels of muscle. Researchers measure level of muscle in kilograms per square meter (kg/m2) of fat-free body mass. Typical young men have about 20 kg/m2. Each subject chose two images, one that represented his own level of body muscle and one that he thought represented "what 21 women prefer." The mean gap between self-image and "what women prefer" was 2.35 kg/m2. 99 Suppose that the "muscle gap" in the population of all young men has a Normal distribution with standard deviation 2.5 kg/m2. Give a 90% confidence interval for the mean amount of muscle young men think they should add to be attractive to women. (Enter your answers rounded to four decimal places.) lower limit 17.4125 kg/m2 upper limit = 17.8875 kg/m² Question Source: Moore, The Basic Practice Of Statistics, 8e Publisher: W.H. Free

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