Two anti-congestant drugs (A and B) are trialled on a group of 15 patients with chronic asthma. Supposing the two drugs are equally effective, the probability that a patient experiences a greater increase in Peak Expiratory Flow (PEF) with drug A than with drug B is 0.5. What is the probability of 10 or more patients in the trial experience a greater increase in PEF with drug A?
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Two anti-congestant drugs (A and B) are trialled on a group of 15 patients with chronic asthma. Supposing the two drugs are equally effective, the probability that a patient experiences a greater increase in Peak Expiratory Flow (PEF) with drug A than with drug B is 0.5.
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- PM Wed Nov 3 Stats Home Insert Draw View 8). Studies have shown that drivers who use cell phones while operating a motor passenger vehicle increase their risk of an accident. To quantify this risk, the New England Journal of Medicine (January 2, 2014) reported on the risk of a crash (or near crash) for both novice and expert drivers when using a cell phone. In a sample of 371 cases of novices using a cell phone while driving, 24 resulted in a crash (or near crash). In a sample of 1,467 cases of experts using a cell phone while driving. 67 resulted in a crash (or near crash). a). Find a 93% confidence interval for p, the true crash risk (probability) for novice drivers, also indicating the ME value. Answer: ME = b). Find a 93% confidence interval for p, the true crash risk (probability) for expert drivers, also indicating the ME value. Answer: гр, ME =A magazine claims that the brand of shoe you buy can have a major impact on how fast you run. A researcher decides to test this assertion and gathers a group of seven (N=7) runners and asks each of them to run a mile wearing each of the four different types of shoes (Nike, Adidas, Asics, and Brooks) and records how quickly the runners complete their miles wearing each type of shoe. Conduct a within subjects (AKA repeated measures) ANOVA, at alpha = 0.05, to see if the runners mile times are significantly different depending on the type of shoe they wear. Identify the correct alternative hypothesis A. At least two mean mile times are different from at least two other mean mile times between the four different types of shoes being tested B. There is a significant difference in mean mile time between the four different types of shoes being tested C. At least one mean mile time is different from at least two other mean mile times between the four different types of shoes being…A doctor is researching side effects with a new pain medication. A clinical trial including random sample of 340 people who took a new pain relief medication reveals that 23 suffered some side effects. At the .05 level of significance(α), is there evidence that greater than 10% of all patients who take the medication will experience side effects? a. 0.0468 b. 0.977 c. 0.0234 d. 0.0678
- Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1550 miles per month. Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 15 recent mileages of Citrus cars was taken. The mean of these 15 mileages was 1517 miles per month, and the standard deviation was 201 miles per month. Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.05 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1550 miles per month? Perform a one-tailed test. Then complete the parts below.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.A manufacturer of laptop computers claims that only 1% of their computers are defective. In a sample of 600 computers, it was found that 3% were defective. If the proportion of defectives were really only 1%, there would be than 1 chance in 1000 of getting such a large proportion of defective laptops in the sample. Is there statistically significant evidence against the manufacturer's claim? Why or Why not?
- Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1550 miles per month. Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 13 recent mileages of Citrus cars was taken. The mean of these 13 mileages was 1425 miles per month, and the standard deviation was 209 miles per month. Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.10 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1550 miles per month? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary,…Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1600 miles per month. Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 16 recent mileages of Citrus cars was taken. The mean of these 16 mileages was 1517 miles per month, and the standard deviation was 233 miles per month. Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.05 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1600 miles per month? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary,…A large company that produces a "tat-burner pill claims an average Ioss of 20 pounds in the first month. A consumer advocacy group believes that this claim is actually just "hype" intended to sell more of the compound. The advocacy group Would like to obtain statistical evidence about this issue and takes a random sample of 100 consumers who responded that they had purchased the pill but didn't know what the survey was about. They find that these 100 people lost an average of 18 pounds. Let the standard deviation of the population be 7.5 pounds. Clearly state the hypotheses, obtain the test statistic and p-value, and state the decision and conclusion. Show all your work.