The reaction time in seconds of a person can be modeled by a lognormal distributed with mean of-0.35 and standard deviation of 0.2. I. Find the probability that the reaction time is less than 0.6 seconds. II. Find the reaction time that is exceeded by 95 % of the population
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- Data can be approximated quite well by a N(3.4, 3.1) model. Economists become alarmed when productivity decreases. According to the normal model what is the probability that the percent change in worker output per hour from the previous quarter is more than 1.6 standard deviations below the mean? What is the probability that the percent change in worker output from the previous quarter is between -1.56 and 4.33?Find the probability that a normal variable takes on values more than 1 6 standard deviations away from its mean.Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.80 ml/kg for the distribution of blood plasma. (d) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.90 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) ________ male firefighters
- Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.+ Over a period months, an adult male patient has taken five blood tests for uric acid. The mean concentration was x = 5.34 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.83 mg/dl. (a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) Oo is unknown O uniform distribution of uric acid F σ is known O normal distribution of uric acid On is large (c) Interpret your results in the context of this problem. O The probability that this interval contains the true average uric acid level for this patient is 0.05. O The probability that…Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=15. Find the probability that a randomly selected adult has an IQ less than 123.= 222 mg/dLi and Total cholesterol levels for middle aged men (aged 55 – 64) follow approximately a normal distribution with mean, µ standard deviation, o = 37 mg/dLi. Those with a total cholesterol of 240 mg/dLi or higher have "high" cholesterol (and have twice the risk of coronary heart disease as someone with a total cholesterol less than 200 mg/dLi) Find the Z-score (standard score) for an observation of 290 mg/dl.
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- Scores on a standardized exam are known to follow a normal distribution with standard deviation σ = 21. A researcher randomly selects 125 students and computes their average score. He reports that the mean score is 73.8, with a margin of error of 2.920. How confident are you that the mean score for all students taking the exam is in the interval (70.88, 76.72)?A population of score has μ = 44. in this population, a score of X = 40 corresponds to z = -0.50. What is the population standard deviation?A normal population has a mean μ = 31 and standard deviation = 8. What proportion of the population is less than 29?
