Suppose that a random variable z has a standard normal distribution. Use a standard normal table such as this one to determine the probability that z is between −1.67 and 1.33. Give your answer in decimal form, precise to at least three decimal places. P(−1.67<z<1.33)=
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Suppose that a random variable z has a standard
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- Let x be a normal random variable with its mean equal to 75 and standard deviation equal to 8. Find the following probabilities for this normal distribution. P(57 < x < 95). Enter your answers using four decimal places.Let x be a continuous random variable that is normally distributed with a mean of 126.4 and a standard deviation of 18.7. Find the probability that x assumes a value between 96.7 and 131.1. Round your answer to four decimal places. The probability = iLet Z be a standard normal random variable. Use the z‐table to find P(Z > ‐1.30)?
- Find each of the probabilities, where z is a z-score from the standard normal distribution with mean of p =0 and standard deviation o = 1. Round to four decimal places, if necessary. P(z 0.39) = P(0 < z< 2.56) = P(-2.72Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml). 91 88 82 103 97 108 84 91 The sample mean is x ≈ 93.0. Let x be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that ? = 12.5. The mean glucose level for horses should be ? = 85 mg/100 ml.† Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use ? = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: ? = 85; H1: ? > 85; right-tailed H0: ? > 85; H1: ? = 85; right-tailed H0: ? = 85; H1: ? ≠ 85; two-tailed H0: ? = 85; H1: ? < 85; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.…Suppose that a random variable ?z has a standard normal distribution. Use a standard normal table such as this one to determine the probability that ?z is between −1.67 and 1.33. Give your answer in decimal form, precise to at least three decimal places. ?(−1.67<?<1.33)=Assume that the probability of a being born with Genetic Condition B is p = 7/60. A study looks at a random sample of 826 volunteers. Find the most likely number of the 826 volunteers to have Genetic Condition B. (Round answer to one decimal place.) H = Let X represent the number of volunteers (out of 826) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two ecimal places.) 0 = Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value μ+2o. Enter answer as an interval using square-brackets only with whole numbers. usual values =Let x be a normal random variable with its mean equal to 75 and standard deviation equal to 8. Find the following probabilities for this normal distribution. PI57Assume that the probability of a being born with Genetic Condition B is p = 11/60. A study looks at a random sample of 1384 volunteers. Find the most likely number of the 1384 volunteers to have Genetic Condition B. (Round answer to one decimal place.) μ = Let X represent the number of volunteers (out of 1384) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) 0 = Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value μ+20. Enter answer as an interval using square-brackets only with whole numbers. usual values=Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−2.11 ≤ z ≤ −0.44) = P(z ≥ 2.07) = P(z ≥ −1.14) =For some positive value z, the probability that a standard normal variable is between -1 and z is 0.8322. Find the value of zLet z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ≥ −1.51)=SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. 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