Manufactürér 2 з 20 28 19 26 25 19 25 30 23 25 25 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 = H3 H3i Hy # Hz # H3 O Ho: Not all the population means are equal. H: H = H2 = H3 O Ho: H1 = H2 = H3 H: Not all the population means are equal. O Ho: H1 * Hz * H3 Ha: H1 = H2 = H3 O Ho: At least two of the population means are equal. H: At least two of the population means are different. 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 =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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State your conclusion.
Reject Ho.
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.
Do not reject Ho. 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.
Do not 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.
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 = 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.
X1
X3
What conclusion can you draw after carrying out this test?
There is a significant difference between the means for manufacturer 1 and manufacturer 3.
There is not a significant difference between the means for manufacturer 1 and manufacturer 3.
Transcribed Image Text:State your conclusion. Reject Ho. 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. Do not reject Ho. 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. Do not 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. 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 = 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. X1 X3 What conclusion can you draw after carrying out this test? There is a significant difference between the means for manufacturer 1 and manufacturer 3. There is not a significant difference between the means for manufacturer 1 and manufacturer 3.
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
20
28
19
26
25
19
25
30
23
25
25
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.
Ho: H1 = H2 = H3
H2 # H3
: Not all the population means are equal.
Ho:
Hai H1 = H2 = H3
%D
Ho: H1 = H2 = H3
: Not all the population means are equal.
Ho: H1 + H2 # H3
Ha: H1 = H2 = H3
Ho: At least two of the population means are equal.
: At least two of the population means are different.
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
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 20 28 19 26 25 19 25 30 23 25 25 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. Ho: H1 = H2 = H3 H2 # H3 : Not all the population means are equal. Ho: Hai H1 = H2 = H3 %D Ho: H1 = H2 = H3 : Not all the population means are equal. Ho: H1 + H2 # H3 Ha: H1 = H2 = H3 Ho: At least two of the population means are equal. : At least two of the population means are different. 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
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