lo test whether the mean time needed to mix a batch of matenal 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. 3. 20 27 20 25 25 19 24 30 23 23 30 22 (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 : Not all the population means are equal. H O H: Not all the population means are equal. O H: H1 = H2=H3 O H: At least two of the population mneans 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.)
lo test whether the mean time needed to mix a batch of matenal 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. 3. 20 27 20 25 25 19 24 30 23 23 30 22 (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 : Not all the population means are equal. H O H: Not all the population means are equal. O H: H1 = H2=H3 O H: At least two of the population mneans 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.)
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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Question
The second slide is the first part of the question and the first slide is the second part of the question.
Transcribed Image Text:State your condusion.
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.
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 Do not reject H..
There is sufficient evidence to condlude 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 carying out this test?
O 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: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
20
27
20
25
25
19
24
30
23
23
30
22
(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
: Not all the population means are equal.
H:
H: H1 = H2=H3
O Ho: Not all the population means are equal.
O H: 1= 2 H3
O H: 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
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