Let X1,., X, denote a random sample from the probability density functionf(r) = 0xº-1, 0 < x < 1,%3Dwhere 0 > 0. Show that X is a consistent estimator of .

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Answered: Let X1,., X, denote a random sample…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 19E

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Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, the mean of the distribution is 4.8. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient’s doctor are 4.2, 4.9, 4.5, 4.1, 4.4, 4.3 with a sample mean of (x̄= 4.4) and a sample standard distribution s =.28. Do the given data indicate that the mean RBC count for this patient is lower than 4.8? Use α = 0.05. f)Based on your calculation the P-Value falls between what range?__________ < P -Value < ____________ g)Is the P-Value range greater than or less than the level of significance (α)? h)Do you reject or fail to reject the null hypothesis? i)Is there sufficient or insufficient evidence to support the claim that the average RBC count for this patient is less than 4.8?
Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, the mean of the distribution is 4.8. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient’s doctor are 4.2, 4.9, 4.5, 4.1, 4.4, 4.3 with a sample mean of (x̄= 4.4) and a sample standard distribution s =.45. Do the given data indicate that the mean RBC count for this patient is lower than 4.8? Use α= 0.10. a)What is the null hypothesis? H0= _________ b)What is the alternate hypothesis? H1__________ c)Calculate the degrees of freedom.___________ d)What test willbe used in this example? e)Calculate the test statistics (t). f)Based on your calculation the P-Value falls between what range? < P -Value < g)Is the P-Value range greater than or less than the level of…
Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, the mean of the distribution is 4.8. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient’s doctor are 4.2, 4.9, 4.5, 4.1, 4.4, 4.3 with a sample mean of (x̄= 4.4) and a sample standard distribution s =.28. Do the given data indicate that the mean RBC count for this patient is lower than 4.8? Use α = 0.05. a)What is the null hypothesis? H0= _________ b)What is the alternate hypothesis? H1__________ c)Calculate the degrees of freedom___________ d)What test will be used in this example? ________________________________ e)Calculate the test statistics (t)

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Let X1,., X, denote a random sample from the probability density function f(r) = 0x-1, 0 0. Show that X is a consistent estimator of