To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained. Machine Machine Machine Machine 6.7 9.0 10.9 9.8 8.1 7.5 10.2 12.5 5.6 9.7 9.4 11.8 7.7 10.3 10.1 10.6 8.6 9.4 9.1 11.2 7.7 9.9 8.5 11.3 (a) At the a - 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. O Hoi Hy = Hz = H3 = Ha H: Not all the population means are equal. O Hạ: At least two of the population means are equal. H: At least two of the population means are different. O Hoi Hy " Hg " Hy = Ha O Ho: Not all the population means are equal. Hi Hy = Hz = H3 = H4 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 not sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines. O Reject Hg. There is sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines. O Reject Hg. There is not sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines. O Do not reject Hg. There is sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines.
To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained. Machine Machine Machine Machine 6.7 9.0 10.9 9.8 8.1 7.5 10.2 12.5 5.6 9.7 9.4 11.8 7.7 10.3 10.1 10.6 8.6 9.4 9.1 11.2 7.7 9.9 8.5 11.3 (a) At the a - 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. O Hoi Hy = Hz = H3 = Ha H: Not all the population means are equal. O Hạ: At least two of the population means are equal. H: At least two of the population means are different. O Hoi Hy " Hg " Hy = Ha O Ho: Not all the population means are equal. Hi Hy = Hz = H3 = H4 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 not sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines. O Reject Hg. There is sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines. O Reject Hg. There is not sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines. O Do not reject Hg. There is sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained.
Machine
Machine
Machine
Machine
1
2.
3
4
6.7
9.0
10.9
9.8
8.1
7.5
10.2
12.5
5.6
9.7
9.4
11.8
7.7
10.3
10.1
10.6
8.6
9.4
9.1
11.2
7.7
9.9
8.5
11.3
(a) At the a = 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.
O Ho: H1 = H2 = H3 = H4
H: Not all the population means are equal.
O Ho: At least two of the population means are equal.
H.: At least two of the population means are different.
O Ho: H1 = H2 = H3 = H4
O Ho: Not all the population means are equal.
H: H, = H2 = Hz=H4
O Ho: H1 + H2 # Hz# H4
H: Hq = Hq = Hz =H4
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 H.. There is not sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines.
O Reject H.. There is sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines.
O Reject H.. There is not sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines.
O Do not reject H.. There is sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines.
Transcribed Image Text:P3 + 44
O H,: Not all the population means are equal.
Ha: Hy = Hz = Hz = H4
O Ho: H1 # H2 # Hz# H4
Hgi Mq = H2 = Hz = H4
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 H.. There is not sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines.
O Reject H.. There is sufficient evidence to conclude that the mean time between breakdowns is not the same
the four machines.
O Reject H.. There is not sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines.
O Do not reject Ho: 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.
What conclusion can you draw after carrying out this test?
O There is a significant difference between the means for machines 2 and 4.
O There is not a significant difference between the means for machines 2 and 4.
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For the give data using Anova single factor carry out the hypotheses test at alpha =0.05 L.O.S
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