Let X be a normal random variable with mean 48 and standard deviation 3.8. Suppose that X has a z-score of z =2.5. What is the value of X?O 50.5O 38.5O 57.5O 45.5A

Answer:- Given, X be a normal random variable with mean μ = 48, and standard deviation σ = 3.8.…

Answered: Let X be a normal random variable with…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 14 17 16 18 15 12 14 17 17 11 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x = s = (ii) Does this information indicate that the population average HC for this patient is higher than 14? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. a: μ = 14; H1: μ < 14 b: μ = 14; H1: μ ≠ 14 c: μ > 14; H1: μ = 14 d: μ < 14; H1: μ = 14 e: μ = 14; H1: μ > 14 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since we assume…
Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 15 17 17 20 15 12 13 16 15 12 State the null and alternate hypotheses. H0: ? = 14; H1: ? < 14 H0: ? > 14; H1: ? = 14 H0: ? < 14; H1: ? = 14 H0: ? = 14; H1: ? ≠ 14 H0: ? = 14; H1: ? > 14 What is the value of the sample test statistic? (Round your answer to three decimal places.)
Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 14 18 15 19 13 11 15 18 15 12 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) X = S = (ii) Does this information indicate that the population average HC for this patient is higher than 14? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. О Но: и 3D 14;B Hі: и 14; Hі: и %3D 14 Но: и 14 О Но: и 3D 14;B Hi: и # 14 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution and o is…
5.1.7 Five males with an X-linked genetio disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. PO O 0.033 0.157 2 0310 3. 0.310 4. 0.157 0.033 Does the table show a probabilty distribution? Select all that apply A. Yes, the table shows a probability distribution. B. No, not every probab tyis between 0 and 1.inclusive. No, the random variable Xs numbervalues are not 355ociated with probablities No. the random varable xis categorcalinstead of numerical. No the sum of all the probablities is not equaltto 1. Cick to select your answerS) and tren cexCheckAnSwer
Suppose that X has a Weibull distribution with β = 2 and δ = 2400. Determine the following. a. P(X > 5000) = b. For an exponential random variable with the same mean as the Weibull distribution P(X > 5000) =
Gentle 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). 93 87 81 103 101 111 83 89 The sample mean is x = 93.5. Let x be a random variable representing glucose eadings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that o = 12.5. The mean glucose level for horses should be u = 85 mg/100 ml.t Do these data indicate hat 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? O Ho: H = 85; H1: µ 85; right-tailed O Ho: H > 85; H1: µ = 85; right-tailed O Ho: H = 85; H1: µ ± 85; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since we assume that x has a normal distribution with…
Suppose that the speed at which cars go on the freeway is normally distributed with mean 66 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car.a. What is the distribution of X? X ~ N( ________ , ________)b. If one car is randomly chosen, find the probability that it is traveling more than 62 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 71 mph. Round to 4 decimal places.
Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.25 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 40. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 40. The value of the mean is u = peas. (Type an integer or a decimal. Do not round.) The value of the standard deviation is o =| peas. (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of peas or fewer are significantly low. (Round to one decimal place as needed.) Values of peas or greater are significantly high. (Round to one decimal place as needed.) c. Is a result of 2 peas with green pods a result that is significantly low? Why or why not? The result significantly low, because 2 peas with green pods is peas.…
Suppose that X is a normal random variable with a mean of μ = -50 and a standard deviation of o= 8. Determine the value of x so that Pr[X > x] = Pr[Z > -0.75], where Z is the standard normal random variable. A. 56 B. 44 C.-6 OD. -44 E. -56

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Let X be a normal random variable with mean 48 and standard deviation 3.8. Suppose that X has a z-score of z = 2.5. What is the value of X? O 50.5 O 38.5 O 57.5 O 45.5