The diameter of steel rods manufactured on two different extrusion machines is being10 and n₁13 are selected, andinvestigated. Two random samples of sizes n₁ =8.82,the sample means and sample variances are ₁ = 8.93, s = 0.43 and ₂ =s2 = 0.30, respectively. Assume that o o2 and that the data are drawn from anormal distribution.==(a) Is there evidence to support the claim that the two machines produce rods withdifferent mean diameters? Use a P-value in arriving at this conclusion(b) Construct a 95% CI for the difference in mean rod diameter. Interpret this interval

given data given data x¯1 =8.93s12 = 0.43n1 = 10x¯2 = 8.82s22 = 0.30n2 = 13α = 0.05claim : μ1 ≠…

Answered: The diameter of steel rods manufactured…

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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The following three independent random samples are obtained from three normally distributed populations with equal variance. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). We are testing the claim that the starting salaries for new college graduate are different depending on the positions at α=0.05α=0.05 given the following data Group 1: Internship Group 2: Co-op Group 3: Work Study 10.5 14.25 14.25 12 15.25 8.75 10 15.25 15.75 11 15.75 10.5 16.25 14 9.75 10.75 12.5 15 10.75 14.25 15.75 16.25 13 14.25 12.25 15.5 9.5 8.75 17 12.5 For this study, we should use ??? 2. Your friend Valerie helped you with the null and alternative hypotheses...H0: μ1=μ2=μ3H0: μ1=μ2=μ3H1:H1: At least one of the mean is different from the others. 3. The test-statistic for this data = ??? (Please show your answer to 3 decimal places.) 4. The p-value for this sample = ???? (Please show…
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