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Español An industrial plant wants to determine which of two types of fu electric or gas, is more cost efficient (measured in cost per uni energy). Independent random samples were taken of plants us electricity and plants using gas. These samples consisted of 10 using electricity, which had a mean cost per unit of $46.37 and st deviation of $8.07, and 8 plants using gas, which had a mean of standard deviation of $8.60. Assume that the populations of costs per unit are normally dist 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 ₁, the m per unit for plants using electricity, differs from ₂, the mean c unit for plants using gas? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decima and round your answers as specified in the table. (If necessary a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H₁. Ho H₁:0 (b) Determine the type of test statistic to use. Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we conclude that the mean cost per unit for plants using electricity differs from the mean cost per unit for plants using gas? OYes No H |x O-O OD X a S Do OSO O

Español An industrial plant wants to determine which of two types of fu electric or gas, is more cost efficient (measured in cost per uni energy). Independent random samples were taken of plants us electricity and plants using gas. These samples consisted of 10 using electricity, which had a mean cost per unit of $46.37 and st deviation of $8.07, and 8 plants using gas, which had a mean of standard deviation of $8.60. Assume that the populations of costs per unit are normally dist 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 ₁, the m per unit for plants using electricity, differs from ₂, the mean c unit for plants using gas? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decima and round your answers as specified in the table. (If necessary a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H₁. Ho H₁:0 (b) Determine the type of test statistic to use. Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we conclude that the mean cost per unit for plants using electricity differs from the mean cost per unit for plants using gas? OYes No H |x O-O OD X a S Do OSO O

MATLAB: An Introduction with Applications
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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Done = Knowledge Check www-awu.aleks.com Español An industrial plant wants to determine which of two types of fue electric or gas, is more cost efficient (measured in cost per unit energy). Independent random samples were taken of plants usi electricity and plants using gas. These samples consisted of 10 p using electricity, which had a mean cost per unit of $46.37 and sta deviation of $8.07, and 8 plants using gas, which had a mean of s standard deviation of $8.60. Assume that the populations of costs per unit are normally distr 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 ₁, the me per unit for plants using electricity, differs from μ₂, the mean cos unit for plants using gas? (a) State the null hypothesis H, and the alternative hypothesis H₁. Ho H, O (b) Determine the type of test statistic to use. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal and round your answers as specified in the table. (If necessary, a list of formulas.) Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) AA (d) Find the p-value. (Round to three or more decimal places.) 0 Evelyn V (e) Can we conclude that the mean cost per unit for plants using electricity differs from the mean cost per unit for plants using gas? OYes O No I Don't Know Submit H X 0² O X S 0 ローロ OSO O<O © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
Transcribed Image Text:Done = Knowledge Check www-awu.aleks.com Español An industrial plant wants to determine which of two types of fue electric or gas, is more cost efficient (measured in cost per unit energy). Independent random samples were taken of plants usi electricity and plants using gas. These samples consisted of 10 p using electricity, which had a mean cost per unit of $46.37 and sta deviation of $8.07, and 8 plants using gas, which had a mean of s standard deviation of $8.60. Assume that the populations of costs per unit are normally distr 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 ₁, the me per unit for plants using electricity, differs from μ₂, the mean cos unit for plants using gas? (a) State the null hypothesis H, and the alternative hypothesis H₁. Ho H, O (b) Determine the type of test statistic to use. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal and round your answers as specified in the table. (If necessary, a list of formulas.) Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) AA (d) Find the p-value. (Round to three or more decimal places.) 0 Evelyn V (e) Can we conclude that the mean cost per unit for plants using electricity differs from the mean cost per unit for plants using gas? OYes O No I Don't Know Submit H X 0² O X S 0 ローロ OSO O<O © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
Español 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 10 plants using electricity, which had a mean cost per unit of $46.37 and standard deviation of $8.07, and 8 plants using gas, which had a mean of $49.20 and standard deviation of $8.60. 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 formulas.) (a) State the null hypothesis H. and the alternative hypothesis H₁. HO H₁ (b) Determine the type of test statistic to use. (Choose one) ▼ :0 (c) Fit Chi-Square test statistic. (Round to three or more decimal places.) F (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we conclude that the mean cost per unit for plants using electricity differs from the mean cost per unit for plants using gas? OYes O No 3 X 0=0 0#0 X a S On OSO O<O Р <Q Olo ロマロ ☐>O
Transcribed Image Text:Español 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 10 plants using electricity, which had a mean cost per unit of $46.37 and standard deviation of $8.07, and 8 plants using gas, which had a mean of $49.20 and standard deviation of $8.60. 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 formulas.) (a) State the null hypothesis H. and the alternative hypothesis H₁. HO H₁ (b) Determine the type of test statistic to use. (Choose one) ▼ :0 (c) Fit Chi-Square test statistic. (Round to three or more decimal places.) F (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we conclude that the mean cost per unit for plants using electricity differs from the mean cost per unit for plants using gas? OYes O No 3 X 0=0 0#0 X a S On OSO O<O Р <Q Olo ロマロ ☐>O
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