To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. Theresults follow.Temperature50°C60°C70°C342923243028363328392230322631a. Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary).Source of Variation Sum of Squares Degrees of Freedom Mean Squarep-valueTreatmentsErrorTotalb. Use a .05 level of significance to test whether the temperature level has an effect on the mean yield of the process.Calculate the value of the test statistic (to 2 decimals).The p-value is - select your answer -What is your conclusion?- Select your answer -00

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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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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. Temperature 50°C 60°C 70°C 36 35 28 26 36 33 38 39 33 41 28 35 34 32 36 Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total Use a level of significance to test whether the temperature level has an effect on the mean yield of the process. Calculate the value of the test statistic (to 2 decimals). The -value is What is your conclusion?
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 25 34 15 31 32 14 29 37 18 27 33 17 a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use a = 0.05. Sum of squares, treatment = Sum of squares, error = Mean squares, treatment = mean squares, error = Calculate the value of the test statistic (to 2 decimals). The P-value is: Less than 0.01, between 0.01 and 0.025, between 0.025 and 0.05, between 0.05 and 0.10, greater than 0.10 What is your conclusion? b. At the a = 0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3. What conclusion can you draw after carrying out this test?
8. Hypothesis Test of Equal Variances. Test the given claim. Use a significance level of a = 0.05 and assume that all populations are normally distributed. Claim: IQ scores of statistics students vary less than IQ scores of other students. Statistics students: n = 28, x = 118, s = 10.0 Other students: n = 25, x = 112, s = 12.0
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. Temperature 50°C 60°C 70°C 31 28 27 21 29 32 33 32 32 36 21 34 29 25 35 a. Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total b. Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process. Calculate the value of the test statistic (to 2 decimals). _________ The P-value is What is your conclusion? _____________
You are doing a one way analysis of variance on the fuel consumption of different makes of cars. You measure the fuel consumption of 60 cars in total. The number of car makes is 6 for this experiment. The data is given below: Source Sum of squares Treatments 206.56 Errors 40.19 Find the mean squared for treatment. Give your answer to 2 decimal places.
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The article cited in Exercise 19 provides measures of electrical conductivity (in uS/cm). The results are presented in the following table. Sample Size 49 Location Mean SD Upstream 463 208 Midstream 363 98 31 Downstream 647 878 30 Can a one-way analysis of variance be used to determine whether conductivity varies with location? Or is one of the necessary assumptions violated? Explain.

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