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o test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the (in minutes) needed to mix the material. Manufacturer 1 2 3 21 29 21 26 25 18 25 32 22 20 26 23 (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. State the null and alternative hypotheses. O Hạ: H = 2 H: Hy = Hz = H3 O Ha: Not all the population means are equal. O Hg: At least two of the population means are equal. H: At least two of the population means are different. H " 2" 3 O Hg: H = H2 = Hg H: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject H. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Do not reject Hg. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Reject H. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Reject H. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. (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. Find the value of LSD. (Round your answer to two decimal places.)

o test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the (in minutes) needed to mix the material. Manufacturer 1 2 3 21 29 21 26 25 18 25 32 22 20 26 23 (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. State the null and alternative hypotheses. O Hạ: H = 2 H: Hy = Hz = H3 O Ha: Not all the population means are equal. O Hg: At least two of the population means are equal. H: At least two of the population means are different. H " 2" 3 O Hg: H = H2 = Hg H: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject H. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Do not reject Hg. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Reject H. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Reject H. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. (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. Find the value of LSD. (Round your answer to two decimal places.)

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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To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 21 29 21 26 25 18 25 32 22 20 26 23 (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. State the null and alternative hypotheses. O Ho: H1 # H2 # Hz Hai H1 = H2 = H3 O H,: Not all the population means are equal. Ha: H1 = H2 = Mz O H,: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H1 = H2 = H3 O Ho: H1 = H2 = Mz H: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject H.. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Do not reject H.. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Reject H,. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Reject Ho. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. (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. Find the value of LSD. (Round your answer to two decimal places.)
Transcribed Image Text:To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 21 29 21 26 25 18 25 32 22 20 26 23 (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. State the null and alternative hypotheses. O Ho: H1 # H2 # Hz Hai H1 = H2 = H3 O H,: Not all the population means are equal. Ha: H1 = H2 = Mz O H,: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H1 = H2 = H3 O Ho: H1 = H2 = Mz H: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject H.. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Do not reject H.. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Reject H,. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Reject Ho. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. (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. Find the value of LSD. (Round your answer to two decimal places.)
O H,: Not all the population means are equal. Hai Hy = H2 = H3 O H,: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H1 = H2 = H3 H: H1 # Hz # H3 O Ho: H1 = H2 = H3 H: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject H.. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Do not reject H.. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Reject H.. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Reject Ho. There is sufficient evidence to conclude the mean needed to mix bate of material is the same for each manufacturer (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. Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for manufacturers 1 and 3. What conclusion can you draw after carrying out this test? O There is a significant difference between the means for manufacturer 1 and manufacturer 3. O There is not a significant difference between the means for manufacturer 1 and manufacturer 3.
Transcribed Image Text:O H,: Not all the population means are equal. Hai Hy = H2 = H3 O H,: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H1 = H2 = H3 H: H1 # Hz # H3 O Ho: H1 = H2 = H3 H: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject H.. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Do not reject H.. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Reject H.. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. O Reject Ho. There is sufficient evidence to conclude the mean needed to mix bate of material is the same for each manufacturer (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. Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for manufacturers 1 and 3. What conclusion can you draw after carrying out this test? O There is a significant difference between the means for manufacturer 1 and manufacturer 3. O There is not a significant difference between the means for manufacturer 1 and manufacturer 3.
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