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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 $63.05 and standard deviation of $8.37, and 11 plants using gas, which had a mean of $58.20 and standard deviation of $7.88. 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 ₁, the mean cost per unit for plants using electricity, differs from ₂, 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: O H₁:0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (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? H X ローロ O X S 00 OSO 0*0 OO

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 $63.05 and standard deviation of $8.37, and 11 plants using gas, which had a mean of $58.20 and standard deviation of $7.88. 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 ₁, the mean cost per unit for plants using electricity, differs from ₂, 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: O H₁:0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (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? H X ローロ O X S 00 OSO 0*0 OO

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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= Knowledge Check 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 9 plants using electricity, which had a mean cost per unit of $63.05 and standard B deviation of $8.37, and 11 plants using gas, which had a mean of $58.20 and standard deviation of $7.88. 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 μ₁, the mean cost per unit for plants using electricity, differs from the mean cost per unit for plants using gas? H₂0 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 H₁:0 (b) Determine the type of test statistic to use. (Choose one) ▼ Evelyn V (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 3 X 4 a S X 8 ロ=ロ OSO 0#0 O<O Р S <Q olo ロマロ O<O
Transcribed Image Text:= Knowledge Check 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 9 plants using electricity, which had a mean cost per unit of $63.05 and standard B deviation of $8.37, and 11 plants using gas, which had a mean of $58.20 and standard deviation of $7.88. 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 μ₁, the mean cost per unit for plants using electricity, differs from the mean cost per unit for plants using gas? H₂0 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 H₁:0 (b) Determine the type of test statistic to use. (Choose one) ▼ Evelyn V (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 3 X 4 a S X 8 ロ=ロ OSO 0#0 O<O Р S <Q olo ロマロ O<O
Done = Knowledge Check www-awu.aleks.com 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 9 plants using electricity, which had a mean cost per unit of $63.05 and standard deviation of $8.37, and 11 plants using gas, which had a mean of $58.20 and standard deviation of $7.88. (a) State the null hypothesis H, and the alternative hypothesis H₁. H₂:0 H₁:0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) FF 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. Chi-Square Can we conclude, at the 0.05 level of significance, that, 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.) F (d) Find the p-value. (Round to three or more decimal places.) 0 I Don't Know e test statistic. (Round to three or more decimal places.) (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 Submit Evelyn V C AA H X X 37 O © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center S ローロ OSO 020 Р Â O<O>00*0 3 ? P
Transcribed Image Text:Done = Knowledge Check www-awu.aleks.com 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 9 plants using electricity, which had a mean cost per unit of $63.05 and standard deviation of $8.37, and 11 plants using gas, which had a mean of $58.20 and standard deviation of $7.88. (a) State the null hypothesis H, and the alternative hypothesis H₁. H₂:0 H₁:0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) FF 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. Chi-Square Can we conclude, at the 0.05 level of significance, that, 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.) F (d) Find the p-value. (Round to three or more decimal places.) 0 I Don't Know e test statistic. (Round to three or more decimal places.) (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 Submit Evelyn V C AA H X X 37 O © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center S ローロ OSO 020 Р Â O<O>00*0 3 ? P
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