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Source Temperature 50°C 60°C 70°C Ex- 35 25 37 38 30 29 30 33 23 30 24 Sum 27 28 nstruct an analysis of variance table. (Round your values for MSE and F to two decimal places, and your p-value to four de 29 32 Degrees fran Mean F p-value

Source Temperature 50°C 60°C 70°C Ex- 35 25 37 38 30 29 30 33 23 30 24 Sum 27 28 nstruct an analysis of variance table. (Round your values for MSE and F to two decimal places, and your p-value to four de 29 32 Degrees fran Mean F p-value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow. Source of Variation 50°C 60°C 70°C Treatments Error Total N 35 Temperature 25 37 38 30 70 29 206 30 276 33 23 Construct an analysis of variance table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) 30 24 27 28 29 Sum of Squares 32 Degrees of Freedom Ho: M50°C = μ60°C = μ70°C Ha: 50°C 60°C # μ70°C 2 12 O Ho: M50°C 60°C # μ70°C Ha: 50°C = 60°C = μ70°C 14 O Ho: Not all the population means are equal. Ha: 50°C = 60°C = μ70°C Ho: M50°C = μ60°C = μ70°C Ha: Not all the population means are equal. 35 Mean Square 17.16667 F Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process. State the null and alternative hypotheses. O Ho: At least two of the population means are equal. Ha: At least two of the population means are different. 2.038835 p-value 0.172882
Transcribed Image Text:To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow. Source of Variation 50°C 60°C 70°C Treatments Error Total N 35 Temperature 25 37 38 30 70 29 206 30 276 33 23 Construct an analysis of variance table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) 30 24 27 28 29 Sum of Squares 32 Degrees of Freedom Ho: M50°C = μ60°C = μ70°C Ha: 50°C 60°C # μ70°C 2 12 O Ho: M50°C 60°C # μ70°C Ha: 50°C = 60°C = μ70°C 14 O Ho: Not all the population means are equal. Ha: 50°C = 60°C = μ70°C Ho: M50°C = μ60°C = μ70°C Ha: Not all the population means are equal. 35 Mean Square 17.16667 F Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process. State the null and alternative hypotheses. O Ho: At least two of the population means are equal. Ha: At least two of the population means are different. 2.038835 p-value 0.172882
Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Reject Ho. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Do not reject Ho. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Do not reject Ho. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
Transcribed Image Text:Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Reject Ho. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Do not reject Ho. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Do not reject Ho. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
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