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(a) State the null hypothesis H, and the alternative hypothesis H₁. Ho :D 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.) 0 (d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.) and D (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 S oooso X 000<0

(a) State the null hypothesis H, and the alternative hypothesis H₁. Ho :D 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.) 0 (d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.) and D (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 S oooso X 000<0

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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SLICE NAME Confidence Intervals and Hypothesis Testing TOPIC NAME Hypothesis test for the difference of population means: t test for populations with equal variances
= O CONFIDENCE INTERVALS AND HYPOTHESIS... Hypothesis test for the difference of... 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 $46.10 and standard deviation of $8.62, and 15 plants using gas, which had a mean of $44.40 and standard deviation of $8.27. 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. ▬▬▬ 0/5 Can we conclude, at the 0.01 level of significance, that the mean cost Piz 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. H₂:0 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.) 0 (d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.) and (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 μ X a S X 0#0 O<O Р 0=0 OSO 020 ê 010 G O>O 區 ! A
Transcribed Image Text:= O CONFIDENCE INTERVALS AND HYPOTHESIS... Hypothesis test for the difference of... 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 $46.10 and standard deviation of $8.62, and 15 plants using gas, which had a mean of $44.40 and standard deviation of $8.27. 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. ▬▬▬ 0/5 Can we conclude, at the 0.01 level of significance, that the mean cost Piz 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. H₂:0 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.) 0 (d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.) and (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 μ X a S X 0#0 O<O Р 0=0 OSO 020 ê 010 G O>O 區 ! A
Done O CONFIDENCE INTERVALS AND HYPOTHESIS..... Hypothesis test for the difference.... ▬▬▬▬▬0/5 www-awu.aleks.com Español An industrial plant wants to determine which of two types of fu electric or gas, is more cost efficient (measured in cost per unit energy). Independent random samples were taken of plants us electricity and plants using gas. These samples consisted of 10 p using electricity, which had a mean cost per unit of $46.10 and sta deviation of $8.62, and 15 plants using gas, which had a mean of standard deviation of $8.27. 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. (a) State the null hypothesis H, and the alternative hypothesis H₁. Ho :D H₁:0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Ft 0/5 Can we conclude, at the 0.01 level of significance, that µ₁, the me per unit for plants using electricity, differs from ₂, the mean co unit for plants using gas? Chi-Square 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.) AA Explanation Check Evelyn V test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.) and (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 H X ローロ 0 OD O 0 X Ⓒ2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
Transcribed Image Text:Done O CONFIDENCE INTERVALS AND HYPOTHESIS..... Hypothesis test for the difference.... ▬▬▬▬▬0/5 www-awu.aleks.com Español An industrial plant wants to determine which of two types of fu electric or gas, is more cost efficient (measured in cost per unit energy). Independent random samples were taken of plants us electricity and plants using gas. These samples consisted of 10 p using electricity, which had a mean cost per unit of $46.10 and sta deviation of $8.62, and 15 plants using gas, which had a mean of standard deviation of $8.27. 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. (a) State the null hypothesis H, and the alternative hypothesis H₁. Ho :D H₁:0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Ft 0/5 Can we conclude, at the 0.01 level of significance, that µ₁, the me per unit for plants using electricity, differs from ₂, the mean co unit for plants using gas? Chi-Square 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.) AA Explanation Check Evelyn V test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.) and (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 H X ローロ 0 OD O 0 X Ⓒ2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
Expert Solution
Step 1

Given Information:

First sample:

Sample size n1=10

Sample mean x¯1=46.10

Sample standard deviation s1=8.62

Second sample:

Sample size n2=15

Sample mean x¯2=44.40

Sample standard deviation s2=8.27

 

 

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