(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: At least two of the population means are equal. H: At least two of the population means are different. O Hạ: Not all the population means are equal. Hoi Hy * Hz * Hg O Hoi Hy = Hz = 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 Hg. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. 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 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 Hg. 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.) 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.
(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: At least two of the population means are equal. H: At least two of the population means are different. O Hạ: Not all the population means are equal. Hoi Hy * Hz * Hg O Hoi Hy = Hz = 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 Hg. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. 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 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 Hg. 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.) 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.
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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(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 H: At least two of the population means are equal.
H: At least two of the population means are different.
O H: Not all the population means are equal.
H: = Mg = Hg
Hi My = Hz = Hz
O Ho: H1 = 2 = "3
H: Not all the population means are equal.
O Ho: "1 = 2 = l3
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 Hn. 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 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 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 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.)
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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