Manufacturer 1 20 23 2 23 3 26 25 20 32 23 29 19 30 18 (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. но: H1 #M2 # Из на: H1 = 12 = из Ho: Not all the population means are equal. на: н1 = м2 = из | Но: H1 = H2 = из на: M1 #H2 # Из Ho: At least two of the population means are equal. Ha: At least two of the population means are different. © Hoi H1 = H2 H3 H₂: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) X Find the p-value. (Round your answer to three decimal places.) p-value

MATLAB: An Introduction with Applications
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(b) At the α = 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:(b) At the α = 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.
Manufacturer
1
20
26
23
23
29 19
25 20
32 23
23 30 18
(a) Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use α = 0.05.
State the null and alternative hypotheses.
# #
M3
Ho: M₁ M₂
На: M1 = M2 = M3
Ho: Not all the population means are equal.
На: M1 = M2 = M3
Ho: M₁ = M₂ = μ3
На: M1 # M2 # M3
Ho: At least two of the population means are equal.
H₂: At least two of the population means are different.
но: М1 = M2 = M3
На:
: 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 =
Transcribed Image Text:Manufacturer 1 20 26 23 23 29 19 25 20 32 23 23 30 18 (a) Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use α = 0.05. State the null and alternative hypotheses. # # M3 Ho: M₁ M₂ На: M1 = M2 = M3 Ho: Not all the population means are equal. На: M1 = M2 = M3 Ho: M₁ = M₂ = μ3 На: M1 # M2 # M3 Ho: At least two of the population means are equal. H₂: At least two of the population means are different. но: М1 = M2 = M3 На: : 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 =
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