searchLet XX.X be a random sample from an exponential distribution with density functionnThen the random variableY =2 Ex.i=1011Which of the following is falseOA.X distribute chi-square with 2 degrees of freedomB.12i=1Ais a pivotal quantityC. None of the aboveClick Save and Submit to save and submit. Click Save All Answers to save all answers.OWITHaO29°C

Pivotal quantity is the quantity which one is independent of parameter.

Answered: Let XX....X be a random sample from an…

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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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). 95 86 84 107 99 110 86 89 The sample mean is x ≈ 94.5. 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 σ = 12.5. The mean glucose level for horses should be μ = 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: μ = 85; H1: μ < 85; left-tailed H0: μ = 85; H1: μ > 85; right-tailed H0: μ > 85; H1: μ = 85; right-tailed H0: μ = 85; H1: μ ≠ 85; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's…
Please answer with a proper explanation.
Which of the following quantities have a chi-squared distribution with 4 degrees of freedom? I. The sum U = Z² + Z² + Z² + Z², where the Z; are independent, standard normal random variables. II. The random variable W = 4 · S², where S² is the sample variance of a random sample of size 5 from a standard normal population. Only the quantity U has a chi-squared distribution with 4 degrees of freedom. Only the quantity W has a chi-squared distribution with 4 degrees of freedom. Both U and W have a chi-squared distribution with 4 degrees of freedom. Neither U nor W has a chi-squared distribution with 4 degrees of freedom.
Show Consider the following hypothetical situation. Grade data indicat4es that on the average 27% of the students in senior engineering classes have received A grades. From past data we have measured a standard deviation of 15%. We would like to model the proportion X of A grades with a beta distribution. a. Please also provide the values of theparameters. b. Use the distribution in (a) to find the probability that more than 32% of the students had an A.
chis K Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. d C 7 w S H 28 x My: Hy
Consider the bivariate data shown in the table. X y Compute (x)². 8 10.2 9 9.9 10 8.6 11 7.7 12 13 6.8 5.9 14 15 4.2 3 16 2.1
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). 91 87 81 106 101 108 83 88 The sample mean is x ≈ 93.1. 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 σ = 12.5. The mean glucose level for horses should be μ = 85 mg/100 ml.† Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use α = 0.05. (a) What is the level of significance? Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
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 81 104 98 110 85 90 The sample mean is x ≈ 93.5. 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 σ = 12.5. The mean glucose level for horses should be μ = 85 mg/100 ml.† Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use α = 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: μ = 85; H1: μ < 85; left-tailedH0: μ = 85; H1: μ ≠ 85; two-tailed H0: μ = 85; H1: μ > 85; right-tailedH0: μ > 85; H1: μ = 85; right-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since n…
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). 95 86 82 105 97 112 86 89 The sample mean is x ≈ 94.0. 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 σ= 12.5. The mean glucose level for horses should be μ= 85 mg/100 ml.† Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use ? = 0.05. (a) Compute the z value of the sample statistic. (Round your answer to two decimal places.) (b) Find (or estimate) the P-value. (Round your answer to four decimal places.)
I need help with parts D and C only. Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with σ = 2.9%. A random sample of 10 bank stocks gave the following yields (in percents). 5.7 4.8 6.0 4.9 4.0 3.4 6.5 7.1 5.3 6.1 The sample mean is = 5.38%. Suppose that for the entire stock market, the mean dividend yield is μ = 4.1%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.1%? Use α = 0.01. (a) What is the level of significance? (Enter a number.)State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: μ = 4.1%; H1: μ > 4.1%; right-tailedH0: μ = 4.1%; H1: μ < 4.1%; left-tailed H0: μ > 4.1%; H1: μ = 4.1%; right-tailedH0: μ = 4.1%; H1: μ ≠ 4.1%; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since n is large with…
. In a trivariate distribution. o, = 3, o, = 4, o, = 5 rn = 0.4, r, = 0.6 r,, = 0.7 Determine the regression equation of X. on X, and X, if the variates are measured frem their means.

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