Critical Thinking. In Exercises 17–28, use the data and confidence level to construct a confidence
25. Lipitor In clinical trials of the drug Lipitor (atorvastatin), 270 subjects were given a placebo and 7 of them had allergic reactions. Among 863 subjects treated with 10 mg of the drug, 8 experienced allergic reactions. Construct the two 95% confidence interval estimates of the percentages of allergic reactions. Compare the results. What do you conclude?
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- Fuel efficiency of manual and automatic cars, Part II: The table provides summary statistics on highway fuel economy of cars manufactured in 2012. Use these statistics to calculate a 98% confidence interval for the difference between average highway mileage of automatic and manual cars, and interpret this interval in the context of the data. Use automatic as Group A and manual as Group B. Round your answers to 3 decimal places. Hwy MPG, Automatic Hwy MPG, Manual Mean 22.92 27.88 SD 5.29 5.01 26 26 35 25 15 automatic manual Hwy MPG lower bound: mpg upper bound: mpgarrow_forward10 : part 1 and 2arrow_forwardR2arrow_forward
- I'm struggling with this problem and I need some help with it, please?arrow_forwardYou are a researcher studying a certain species of fish in a local lake. You gather a random sample of 19 fish of this species and record the lengths (in centimeters) of the fish. The data is displayed in the table below. Estimate the mean length of all fish of this type in the lake. Use a 99% confidence level. 9.1 9 8.6 5.8 9.8 7.4 9.1 9.5 8.2 8.9 9.3 7.8 9 9.6 10.4 13.6 7.2 10.1 8.9 a) Find the confidence interval: b) What is the margin of error of your interval? c) Interpret your 99% confidence interval in contextarrow_forwardSocial functioning is the ability for an individual to interact or adapt in a normal or usual way in social environments. Albert et al. (2007) asked if relatives of patients with OCD are as healthy as those in general healthy populations. They measured the social functioning of relatives using a 36-item survey with scores ranging from 0 (worst possible health) to 100 (best possible health). The mean score for the general healthy population was 77.43. Using the sample data, test whether there was a difference. Scores: 20, 60, 48, 92, 50, 82, 48, 90, 30, 68, 43, 54, 60, 62, 94, 67, 63, 85 State hypotheses 2. Set the criteria using α= 0.05 3. Calculate t 4. What should you conclude?arrow_forward
- Here are summary statistics for randomly selected weights of newborn girls: n = 250, x= 32.4 hg, s= 7.1 hg. Construct very different from the confidence interval 30.9 hgarrow_forwardyou take a sample in equal 25 of test scores from a population. The sample mean is 38, and the population standard deviation is six. Five. What is the 95% confidence interval of the mean?arrow_forwardPsychologists at an university compared the levels of alcohol consumption of male and female freshman students. Each student was asked to estimate the amount of alcohol (beer, wine, or liquor) they consume in a typical week. Summary statistics for 126 males and 183 females are provided in the accompanying table. Click here to view the table. a. For each gender, find a 95% confidence interval for mean weekly alcohol consumption. For males, the 95% confidence interval is (0) (Round to the nearest hundredth as needed.) ← For females, the 95% confidence interval is (.). (Round to the nearest hundredth as needed.) b. Prior to sampling, what is the probability that at least one of the two confidence intervals will not contain the population mean it estimates. Assume that the two intervals are independent. The probability is. (Round to four decimal places as needed.) c. Based on the two confidence intervals, what inference can you make about which gender consumes the most alcohol, on average,…arrow_forwardarrow_back_iosarrow_forward_ios
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