The following three independent random samples are obtained from three normally distributed populationswith equal variances. The dependent variable is starting hourly wage, and the groups are the types ofposition (work study, co-op, internship).Software was used to conduct a one-way ANOVA to determine if the means are equal using a = 0.05.Summary Statistics:Work Study 13.1693Co-op 14.7388InternshipANOVA Table:SourceBetweenWithinMean Standard DeviationTotal15.441SSdf96.765 480.6288Work Study vs. Co-op1.540160.4562 46 1.3143Work Study vs. InternshipCo-op vs. Internship0.2019MS36.3088 2 18.1544 13.813 2.0E-5F-4.1594Sample SizePerform a Bonferroni test to see which means are significantly different. Round your answers to threedecimal places, and round any interim calculations to four decimal places.Hint: Make sure to use Bonferroni's adjustment.-4.853815-1.62742410P-valueTest Statistic Adjusted P-value Statistically significant difference?0.00010.00000.1104 XYes VYesNo V

Given information for Workshop study: The sample size is n1=15. The sample standard deviation is…

Answered: The following three independent random…

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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An industrial plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 14 plants using electricity, which had a mean cost per unit of $55.06 and standard deviation of $8.25, and 12 plants using gas, which had a mean of $57.80 and standard deviation of $7.81. Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal. Can we conclude, at the 0.10 level of significance, that μ₁, the mean cost per unit for plants using electricity, differs from μ₂, the mean cost per unit for plants using gas? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of…
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Managers of an industrial plant want to determine which of two types of fuel, gas or electric, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 10 plants using electricity, which had a mean cost per unit of $53.50 and standard deviation of $8.19 , and 11 plants using gas, which had a mean of $55.40 and standard deviation of $8.23 . Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal. Construct a 95% confidence interval for the difference −μ1μ2 between the mean cost per unit for plants using electricity, μ1 , and the mean cost per unit for plants using gas, μ2 . Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least…
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The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (work study, co-op, internship). Software was used to conduct a one-way ANOVA to determine if the means are equal using a = 0.05. Summary Statistics: Work Study 13.1693 Co-op Internship ANOVA Table: Source Mean Standard Deviation Within Total 14.7388 15.441 Between 36.3088 SS df 96.765 48 Work Study vs. Co-op 0.6288 Co-op vs. Internship 1.5401 60.4562 46 1.3143 Work Study vs. Internship 0.2019 MS F Sample Size 15 24 2 18.1544 13.813 2.0E-5 10 Perform a Bonferroni test to see which means are significantly different. Round your answers to three decimal places, and round any interim calculations to four decimal places. Test Statistic Adjusted P-value Statistically significant difference? P-value ? ? ?
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An industrial plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 9 plants using electricity, which had a mean cost per unit of $51.9 and standard deviation of $7.98 , and 14 plants using gas, which had a mean of $55.5 and standard deviation of $8.73 . Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal. Can we conclude, at the 0.05 level of significance, that the mean cost per unit for plants using electricity, μ1 , differs from the mean cost per unit for plants using gas, μ2 ? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If…

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