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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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…
Two separate samples are selected from the same population. Each have an n=8. Both samples receive a different treatment. After the treatment, the first sample has SS=16 and the second sample has SS=24. With a mean of 3 for the first group and mean of 6 for the second group, compute the t statistic. State the conclusion of these findings.
6. Show that 1 s2 E1(Xi – x)² is unbiased estimator of the population variance o? i=1 п-1
Suppose a random sample of size 55 is selected from a population with σ = 8. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate). The population size is infinite (to 2 decimals). The population size is N = 50,000 (to 2 decimals). The population size is N = 5,000 (to 2 decimals). The population size is N = 500 (to 2 decimals).
- Let I = 1.135013 be the sample mean of an iid sample r1,..., x50 from a gamma population Gamma(1, 3). Here B > 0 is the unknown parameter of interest. Construct an approximate 95%-CI for B.
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…
In a tri-variate distribution: o1 = 3 o2 = 4 03 = 5 r23= 0.4 r31=0.6 r12=0.7 determine the regression of x1 on x2 and x3 if the variates are measured from their mean
3.3.24. Let X1, X2 be two independent random variables having gamma distribu- tions with parameters a₁ = 3, B₁ = 3 and a2 = 5, B2 = 1, respectively. (a) Find the mgf of Y = 2X₁ +6X2. (b) What is the distribution of Y?
Let X-1: correct, X=0 : wrong And P= Pr(X=1)=2/5 What is the variance? .32 O.6 O .4
9. Let 7 = 1.135013 be the sample mean of an iid sample r1,..., T50 from a gamma population Gamma(1, 3). Here ß > 0 is the unknown paramcter of interest. Construct an approximate 95%-CI for ß.
ndependent random samples are selected from two populations and are used to test the hypothesis Hn: (H, - H2) = 0 against the alternative H,: (4, - H2) #0. An analysis of 232 observations from population 1 and 311 from population 2 yielded p-value of 0.113. Complete parts a and b below. a. Interpret the results of the computer analysis. Use as0.10. A. Since this p-value exceeds the given value of a, there is insufficient evidence to indicate that the population means are different. O B. Since the given a value exceeds this p-value, there is insufficient evidence to indicate that the population means are different. OC. Since the given a value exceeds this p-value, there sufficient evidence to indicate that the population means are different. O D. Since this p-value exceeds the given value of , there is sufficient evidence to indicate that the population means are different. b. If the alternative hypothesis had been Ha: (H1 - H2) <0, how would the p-value change? Interpret the p-value…

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