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- The pregnancy length of new mothers in a population is 267 days with a standard deviation of 10 days. What is the minimum pregnancy length that can be in the top 10% of pregnancy lengths? Assume that it is normal distribution.Assume that weights of adult females are normally distributed with a mean of 79 kg and a standard deviation of 20 kg. What percentage of individual adult females have weights between 73 kg and 85 kg? If samples of 64 adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are between 73 kg and 85 kg? The percentage of individual adult females with weights between 73 kg and 85 kg is 23.6 % (Round to one decimal place as needed.) The percentage of samples of 64 adult females with mean weights between 73 kg and 85 kg is (Round to one decimal place as needed.)Suppose that a researcher is interested in estimating the mean systolic blood pressure, u, of executives of major corporations. He plans to use the blood pressures of a random sample of executives of major corporations to estimate u. Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is 26 mm Hg, what is the minimum sample size needed for the researcher to be 99% confident that his estimate is within 4 mm Hg of u? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)
- If systolic blood pressure mesurments, Y, a group of 10,012 young age men are normally distributed with a mean. =120, and standard deviation of =20. A) find the perecentage of men with blood pressure between 115 and 132. B) find the percentage of men with blood pressure between 122 and 140.Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 265 feet and a standard deviation of 40 feet. Let X be the distance in feet for a fly ball.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly hit fly ball travels less than 264 feet. Round to 4 decimal places.Assume that the weights of trout in a river are normally distributed. You randomly catch and weigh 20 such trout. The mean weight from your sample is 7.3 lb with a standard deviation of 0.9 lb. Test the claim that the mean weight of trout in this river is greater than 7 lb at a significance level of 0.01. Be sure to clearly identify your work, using appropriate notation at each step of the process, and summarize your final result in a complete sentence.
- Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 275 feet and a standard deviation of 35 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly hit fly ball travels less than 265 feet. Round to 4 decimal places.Suppose that a researcher is interested in estimating the mean systolic blood pressure, μ, of executives of major corporations. He plans to use the blood pressures of a random sample of executives of major corporations to estimate μ. Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is 26mm Hg, what is the minimum sample size needed for the researcher to be 95% confident that his estimate is within 5mm Hg of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).The time it takes me to wash the dishes is uniformly distributed between 7 minutes and 16 minutes. What is average time that takes me to wash the dishes? What is the standard deviation of the time that takes me to wash the dishes?
- Consider the following set of three distributions, all of which are drawn to the same scale. Identify the two distributions that are normal. Of the two normal distributions, which one has the larger variation? Q 9 The two normal distributions are Ar 1. ^. where Ar 1) and (2) and (c) P) and (4) has the larger standard deviation.1/ The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 2 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. What is the median recovery time? daysc. What is the Z-score for a patient that took 5.1 days to recover? d. What is the probability of spending more than 4.8 days in recovery? e. What is the probability of spending between 3.5 and 4.1 days in recovery? f. The 90th percentile for recovery times is days. 2/The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 79 minutes and a standard deviation of 15 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the…