To test for any significant difference in the number of hours between breakdowns for four machines, the following data w

[answerhappygod]

To test for any significant difference in the number of hours
between breakdowns for four machines, the following data were
obtained.
(a)
At the 𝛼 = 0.05 level of significance, what is the
difference, if any, in the population mean times among the four
machines?
State the null and alternative hypotheses.
H0: 𝜇1 = 𝜇2 = 𝜇3 = 𝜇4
Ha: Not all the population means are
equal.H0: 𝜇1 = 𝜇2 = 𝜇3 = 𝜇4
Ha: 𝜇1 ≠ 𝜇2 ≠ 𝜇3 ≠ 𝜇4 H0:
Not all the population means are equal.
Ha: 𝜇1 = 𝜇2 = 𝜇3 = 𝜇4H0:
At least two of the population means are equal.
Ha: At least two of the population means are
different.H0: 𝜇1 ≠ 𝜇2 ≠ 𝜇3 ≠ 𝜇4
Ha: 𝜇1 = 𝜇2 = 𝜇3 = 𝜇4
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.
Reject H0. There is not sufficient
evidence to conclude that the mean time between breakdowns is not
the same for the four machines.Do not
reject H0. There is not sufficient
evidence to conclude that the mean time between breakdowns is not
the same for the four machines. Do not
reject H0. There is sufficient evidence to
conclude that the mean time between breakdowns is not the same for
the four machines.Reject H0. There is
sufficient evidence to conclude that the mean time between
breakdowns is not the same for the four machines.
(b)
Use Fisher's LSD procedure to test for the equality of the means
for machines 2 and 4. Use a 0.05 level of significance.
Find the value of LSD. (Round your answer to two decimal
places.)
LSD =
Find the pairwise absolute difference between sample means for
machines 2 and 4.
x2 − x4
=
What conclusion can you draw after carrying out this test?
There is a significant difference between the means for machines
2 and 4.There is not a significant difference between the means for
machines 2 and 4.