7.3.11-T Question Help v A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 19 subjects had a mean wake time of 97.7 min and a standard deviation of 42.1 min. Assume that the 19 sample values appear to be from a normally distributed population and construct a 95% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments. Does the result indicate whether the treatment is effective? Find the confidence interval estimate. Omin

7.3.11-T Question Help v A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 19 subjects had a mean wake time of 97.7 min and a standard deviation of 42.1 min. Assume that the 19 sample values appear to be from a normally distributed population and construct a 95% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments. Does the result indicate whether the treatment is effective? Find the confidence interval estimate. Omin

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Q2 Mutation for Facial Flushing Q2.1 Conditions for Confidence Interval The mutation identified in a clinical setting as producing facial flushing and increased heart rate when alcohol has been consumed is called ALDH22. People with this genetic variant are at a higher risk for esophageal cancer. Suppose that you have a random sample of 300 people and find 32 people with the ALDH22 mutation. We would like to estimate the proportion of people with the ALDH2*2 mutation with 95% confidence. State the conditions AND comment on whether each has been met to estimate this proportion. Save Answer Q2.2 Mechanics for Confidence Interval The mutation identified in a clinical setting as producing facial flushing and increased heart rate when alcohol has been consumed is called ALDH22. People with this genetic variant are at a higher risk for esophageal cancer. Suppose that you have a random sample of 300 people and find 32 people with the ALDH22 mutation. We would like to estimate the proportion…
The burning rates of two different solid-fuel propellants used in aircrew escape systems are being studied. It is known that both propellants have approximately the same standard deviation of burning rate; that is, a₁ = ₂ =3 cm/s. From a random sample of size n₁ = 20 and n₂ = 20, we obtain₁ = 18.02 cm/s and ₂ = 24.31 cm/s. Construct a 95% confidence interval on the difference in means μ₁ - 1₂. Round your answers to 3 decimal places (e.g. 98.765). What is the upper bound of the two-sided confidence interval?
In a test of the effectiveness of garlic for lowering cholesterol, 36 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.7 and a standard deviation of 23.1. Use a 0.01 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
Random and independent samples of 80 recent prime time airings from each of two major networks have been considered. The first network aired a mean of 110.7 commercials during prime time, with a standard deviation of 4.9 commercials. The second network aired a mean of 109.3 commercials, with a standard deviation of 4.6 commercials. As the sample sizes are quite large, the population standard deviations can be estimated using the sample standard deviations. Construct a 95% confidence interval for u,-u,, the difference between the mean number of commercials u, aired during prime time by the first network and the mean number of commercials u, aired during prime time by the second network. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: || Upper limit: ||
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In a sample of 90 large grade A eggs, the mean number of calories was 64 with a standard deviation of 2.5. In a sample of 85 large grade AA eggs, the mean number of calories was 86 with a standard deviation of 2.7. Find a 98% confidence interval for the difference in the mean numbers of calories between grade AA and grade A eggs. (Round the final answer to three decimal places.)
10 In a test of the effectiveness of garlic for lowering cholesterol, 44 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes (before−after) in their levels of LDL cholesterol (in mg/dL) have a mean of 3.4 and a standard deviation of 18.8. Construct a 95% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol? What is the confidence interval estimate of the population mean μ? (?) mg/dL<μ<(?) mg/dL (Round to two decimal places as needed.) What does the confidence interval suggest about the effectiveness of the treatment? A. The confidence interval limits contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels. B. The confidence interval limits do not contain 0, suggesting…
Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women
Pilots who cannot maintain regular sleep hours due to their work schedule often suffer from insomnia. A recent study on sleeping patterns of pilots focused on quantifying deviations from regular sleep hours. A random sample of 28 commercial airline pilots was interviewed, and the pilots in the sample reported the time at which they went to sleep on their most recent working day. The study gave the sample mean and standard deviation of the times reported by pilots, with these times measured in hours after midnight. (Thus, if the pilot reported going to sleep at p.m., the measurement was -1.) The sample mean was 0.8 hours, and the standard deviation was 1.6 hours. Assume that the sample is drawn from a normally distributed population. Find a 90% confidence interval for the population standard deviation, that is, the standard deviation of the time (hours after midnight) at which pilots go to sleep on their work days. Then give its lower limit and upper limit.
A researcher decides to measure anxiety in group of bullies and a group of bystanders using a 23-item, 3 point anxiety scale. Assume scores on the anxiety scales are normally distributed and the variance among the group of bullies and bystanders are the same. A group of 30 bullies scores an average of 21.5 with a sample standard deviation of 10 on the anxiety scale. A group of 27 bystanders scored an average of 25.8 with a sample standard deviation of 8 on the anxiety scale. You do not have any presupposed assumptions whether bullies or bystanders will be more anxious so you formulate the null and alternative hypothesis based on that.