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Suppose we want to design a new placebo-controlled trial to evaluate an experimental medication to increase lung capacity. The primary outcome is peak expiratory flow rate, a continuous variable measured in liters per minute. The primary outcome will be measured after 6 months on treatment. The expected peak expiratory flow rate in adults is 300 with a standard deviation of 50. How many subjects should be enrolled to ensure 80% power to detect a difference of 15 liters per minute with a two sided test and ?=0.05?
Using α = 0.05, does this sample provide enough evidence to conclude that the average utility bill in Delaware was lower in the winter of 2011-2012 than it was in the winter of 2010-2011?
A national water expert is interested in determining the average amount of lead (in ppm, parts per million) that is found in the Houston, Texas drinking water. To conduct her research, she considers only those residential households within the city l..
SAT I scores around the nation tend to have a mean scale score around 500, a standard deviation of about 100 points and are approximately normally distributed. A person who scores (a perfect) 800 on the SAT I has approximately what percentile rank..
Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 8 IQ points of the true mean.
The assembly time for a product is uniformly distributed between 6 to 10 minutes. The probability of assembling the product between 7 to 9 minutes is
Can you determine the exact number of days that it rained? Can you conclude anything about the number of days that it rained? Explain.
Give the expected value and standard deviation of defective shoes in the ShoeFit store order.
To demonstrate the effectiveness of the drug, a researcher selects a sample of n = 25 children diagnosed with the disorder and measure each child's attention span before and after taking the drug.
As reported by Runner's World magazine, the times of the finishers in the New York City 10-km run are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes. Let x be the finishing time for a finisher in the New York ..
If a sampleof50 customers is selected on a given day, what is the probability, given your selected delivery time that fewer than 3 customers will receive a free newspaper?
Based on a scatter diagram, would you estimate the linear correlation coefficient to be:
Would it be reasonable to conclude that the population distribution is Poisson with a mean of 2.0?
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