yAn 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). Independentrandom samples were taken of plants using electricity and plants using gas. These samples consisted of 12 plants using electricity, which had a mean cost perunit of $66.99 and standard deviation of $8.75, and 14 plants using gas, which had a mean of $58.50 and standard deviation of $8.46.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 plantsusing 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 offormulas.)(a) State the null hypothesis Ho and the alternative hypothesis H₁.H₁ H₁ = P₂H₁ H₁ H₂#(b) Determine the type of test statistic to use.Degrees of freedom: 24(c) Find the value of the test statistic. (Round to three or more decimal places.)2.5112(d) Find the p-value. (Round to three or more decimal places.)tExplanationCheckO Searchн|x0=0□□X0OS050□<口РŚ010☐☐>2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy CentADXEW (a) State the null hypothesis Ho and the alternative hypothesis H₁.0H₁ : ₁ = H₂H₁ : H₁ H₂#(b) Determine the type of test statistic to use.71°FPartly cloudyDegrees of freedom: 24(c) Find the value of the test statistic. (Round to three or more decimal places.)2.5112t(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 electricitydiffers from the mean cost per unit for plants using gas?O Yes O No6144AExplanationCheckO Search3e =|xX80=0#0XOSOSOP5302022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy CenterWEspaEU

Here we have to solve part (d) and e only Here we have test statistic t = 2.5112 degree of freedom…

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 12 plants using electricity, which had a mean cost per unit of $66.99 and standard deviation of $8.75, and 14 plants using gas, which had a mean of $58.50 and standard deviation of $8.46. 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. H₁ H₁ = 1₂ H₁ H₁ H₂ (b) Determine the type of test statistic to use. Degrees of freedom: 24 (c) Find the value of the test statistic. (Round to three or more decimal places.) 2.5112 (d) Find the p-value. (Round to three or more decimal places.) μ X ロ=ロロ X O S 2 < p

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 12 plants using electricity, which had a mean cost per unit of $66.99 and standard deviation of $8.75, and 14 plants using gas, which had a mean of $58.50 and standard deviation of $8.46. 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. H₁ H₁ = 1₂ H₁ H₁ H₂ (b) Determine the type of test statistic to use. Degrees of freedom: 24 (c) Find the value of the test statistic. (Round to three or more decimal places.) 2.5112 (d) Find the p-value. (Round to three or more decimal places.) μ X ロ=ロロ X O S 2 < p

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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