A well-known diet doctor has developed a new formula for a drug that will suppress appetites.The Food and Drug Administration (FDA) wants this doctor to submit research to show thatthere is a significant difference in weight loss for patients using the new drug versus the olddrug. Which of the following would be the best method to obtain results the FDA isrequesting?The doctor assigns the new drug to patients who have more than 10 pounds to lose and the old drug topatients with less than 10 pounds to loseThe doctor should randomly assign patients to two groups: one group takes the new drug and the othergroup takes the old drug.The doctor should randomly choose patients and allow them to select which drug they want to use.The doctor should randomly choose patients to take the new drug and ask patients using the old drug howmuch weight they have lost.57A data set has numbers: 3, 5, 5, 6, 4, 3, 1, and 7. Which is the interquartile range? *3.02.02.5

Given that, A well-known diet doctor has developed a new formula for a drug that will suppress…

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Hyperhidrosis is a stressful medical condition characterized by chronic excessive sweating. Botox was approved for treatment of hyperhidrosis in adults in 2004. A clinical trial examined the effectiveness of Botox for excessive armpit sweating in teenagers aged 12 to 17 years. Participants received either a Botox injection or a placebo injection (a simple saline solution) and were examined four weeks later to see if their sweating had been reduced. Here are the study's findings: Botox Placebo Total Reduced Confidence Interval: 72 52 124 Not Reduced 28 We are 95% confident that there is hyperhidrosis who experienced a reduction in sweating. 148 176 Total 100 200 - Construct a 95% confidence interval for p₁ - P2 where p₁ denotes the proportion of teenagers who experienced a reduction in sweating in the Botox group and p2 denotes the proportion of teenagers who experienced a reduction in sweating in the placebo group. Round your answers to three decimal places, and use four decimal places…
Identifying individuals with a high risk of Alzheimer’s disease usually involves a long series of cognitive tests. However, researchers have developed a 7-Minute Screen, which is a quick and easy way to accomplish the same goal. The question is whether the 7-Minute Screen is as effective as the complete series of tests. To address this question, Ijuin et al. (2008) administered both tests to a group of patients and compared the results. The following data represent results similar to those obtained in the study. Scores in 7minute-screen (Y) Scores in Cognitive series (X) 0 11 4 19 6 22 8 20 5 14 4 13 A) Calculate the Pearson correlation for these data. B) If the researchers centered the variable of 7-minute screen (i.e., every score in this variable minus its Mean), what would be the new value of correlation? C) Is the correlation statistically significant? Use a two-tailed test with α = .05.
A certain training device measures reaction times of users by illuminating lights, one at a time, and measuring the time it takes the user to press each light to turn it off. The makers of the device are marketing it for high-level training, saying that even among professional athletes, the proportion who can score the top ranking of "light speed" is less than 22% . As a fitness trainer who wants to buy the device to attract more customers, you want to feel comfortable that the claim made by the makers is correct. To test the claim, you decide to perform a hypothesis test. To do so, you rent the device and have a random sample of 130 professional athletes use it; 26 score a ranking of "light speed." You confirm that it is appropriate to perform a Z -test. Why is a Z -test appropriate? Find z , the value of the test statistic for your Z -test. Round your answer to three or more decimal places. =z
The federal government recently granted funds for a special program designed to reduce crime in high-crime areas. A study of the results of the program in high-crime areas of Miami, Florida, are being examined to test the effectiveness of the program. The difference in crimes reported is calculated as (crimes after - crimes before). You want to test whether the average number of crimes reported after are different from the average number of crimes reported before. What are the hypotheses for this test? O 11 Ho: HD 2 0 HA: HD 0 HA: HD 0
You may need to use the appropriate appendix table or technology to answer this question. Approximately 50% of all caregivers of older adults are caring for someone with memory loss (due to is percentage of caregivers caring for older adults with memory loss. This year, in a random sample of 400 caregivers, 181 were caring for older adults with memory loss uch as Alaheimer's or dementia). It is beleved that there has been a reduction in the (a) State the null and the alternative hypotheses. (Enter t for as needed.) (b) At the 0.05 level using the critical value approach, determine if there has been a significant reduction in the proportion of caregivers caring for adults with memory loss Compute the test statistk. Determine the critical value(s) for this test. (Round your answerta) to two decimal places. If the test is one-taled, enter NONE for the unused tal.) test statisticS test statistic State your condusion. O Reject Ha There is insufficient evidence to support the claim that the…
A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new test are 60% and 70%, respectively. Five hundred people are screened at a clinic during the first year the new test is implemented. Assume the true prevalence of Lyme disease among clinic attendees is 10%. Calculate the predictive value of a positive test.
Identifying individuals with a high risk of Alzheimer's disease usually involves a long series of cognitive tests. However, researchers have developed a 7-Minute Screen, which is a quick and easy way to accomplish the same goal. The question is whether the 7-Minute Screen is as effective as the complete series of tests. To address this question, Ijuin et al. (2008) administered both tests to a group of patients and compared the results. The following data represent results similar to those obtained in the study. 7-Minute Screen Cognitive Series 3 11 8 19 10 22 8 20 4 14 7 13 4 9 5 20 14 25 Which statistical test would you select: Answer H0: Answer H1: Answer What is the coefficient that indicates the strength of the relationship? Answer =Answer What is the standard error? Answer What is the appropriate 95% CI? [ Answer , Answer ] What is the d-effect size? Answer What is the t-observed? Answer What is the actual p-value? Answer THREE decimal places…
Early life corresponds to the first bacterial colonization of the digestive tract, creating a microbiome thought to play an important role in human development. What might be the effect of early exposure to antibiotics on children's development? One study followed 11,532 full-term babies all born in the county of Avon, United Kingdom, during 1991 and 1992. Exposures to antibiotics during infancy were recorded, along with measures of body mass at regular intervals over several years. The researchers found that antibiotic exposure during the first six months of life was associated with increased body mass later in childhood.
The mango is considered the "king of fruits" in many parts of the world. Mangoes are generally harvested at the mature green stage and ripen up during the marketing process of transport, storage, and so on. During this process, about 30% of the fruit is wasted. Because of this, the impact of harvest stage and storage conditions on the postharvest quality are of interest. In this experiment, the fruit was harvested at 80, 95, or 110 days after the fruit setting (the transition from flower to fruit) and then stored at temperatures of 20∘C, 30∘C, or 40∘C. For each harvest time and storage temperature, a random sample of mangoes was selected, and the time to ripening was measured. What are the factors, the treatments, and the response variables? Take each item from the answer bank and place into the appropriate category.
Identifying individuals with a high risk of Alzheimer’s disease usually involves a long series of cognitive tests. However, researchers have developed a 7-Minute Screen, which is a quick and easy way to accomplish the same goal. The question is whether the 7-Minute Screen is as effective as the complete series of tests. To address this question, Ijuin et al. (2008) administered both tests to a group of patients and compared the results. The following data represent results similar to those obtained in the study. Patient 7-Minute Screen Cognitive Series A 3 7 B 7 15 C 4 14 D 5 13 E 7 9 F 5 15 G 11 25 The alternative hypothesis in words and null hypothesis in symbols for a two-tailed test is
Refer to Exercise 3. In the last 50 samples, there were a total of 622 defective items. The largest number of defectives in any sample was 24, while the smallest number was 6. Is this enough information to determine whether the process was out of control at any time during the last 50 samples? If so, state whether or not the process was out of control. If not, state what additional information would be required to make the determination.
You are concerned that nausea may be a side effect of Tamiflu, but you cannot just give Tamiflu to patients with the flu and say that nausea is a side effect if people become nauseous. This is because nausea is common for people who have the flu. From past studies you know that about 30% of people who get the flu experience nausea. You collected data on 1744 patients who were taking Tamiflu to relieve symtoms of the flu, and found that 572 experienced nausea. Use a 0.01 significance level to test the claim that the percentage of people who take Tamiflu for the relief of flu symtoms and experience nausea is greater than 30%.a) Identify the null and alternative hypotheses?�0: �1: b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed c) Identify the appropriate significance level.d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal…

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