Suppose that (Y,. X) satisfy the assumptions specified here. A random sample of n = 455 is drawn and yieldsY= 6.38 + 5.84X, R² = 0.57, SER=8.5(2.9) (2.2)Where the numbers in parentheses are the standard errors of the estimated coefficients = 6.38 and ₁=5.84 respectively.Suppose you wanted to test that , is zero at the 5% level. That is,Report the f-statistic and p-value for this test.A. NoB. YesHo: B₁=0 vs. H₁: B₁ #0Construct a 95% confidencen interval for ₁.The f-statistic is 2.65(Round your response to two decimal places)The p-value is 0.0080Based on the p-value computed above, would you reject the null hypothesis at the 5% level?(Round your response to two decimal places)The 95% confidence interval for P, is .(Round your response to two decimal places)

The specified regression line is: Y^=6.38+5.84X 2.9 2.2 From the above, the standard…

Answered: Suppose that (Y, X) satisfy the…

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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2.2. Let Y₁, Y₂Yn denote a random sample from a gamma distribution with each Y-gamma (0; B) with known. Find a sufficient statistic for 8.
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Let m denote margin of error, n sample size and σ standard deviation. m= zα/2(σn) Solve the above equation for n.
The desired percentage of Sio, in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of Sio, in a sample is normally distributed with o = 0.32 and that x = 5.23. (Use a = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. Ho: u = 5.5 Hg: µ 2 5.5 Ho: H = 5.5 HaiH 5.5 = Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average percentage differs from the desired percentage. O Reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the…
Answer last 3 parts. t hank y o u.
6. Show that 1 s2 E1(Xi – x)² is unbiased estimator of the population variance o? i=1 п-1
The desired percentage of SiO₂ in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO₂ in a sample is normally distributed with = 0.32 and that x = 5.23. (Use a = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. O Ho: μ = 5.5 H₂:μ> 5.5 O Ho: μ = 5.5 H₂: μ = 5.5 ⒸHO: μ = 5.5 H₂:μ ≥ 5.5 O Ho: μ = 5.5 H₂: μ< 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true verage percentage differs from the desired percentage. O Reject the null hypothesis. There is not sufficient evidence to…
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