Treatments -20 -7 -19 -18 -8 -4 -17 -7 -18 -12 -19 -15 -13 -19 -13
Random sampling from four
a. Calculate the grand mean. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)
Grand mean =
b. Calculate SSTR and MSTR. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
SSTR =
MSTR =
c. Calculate SSE and MSE. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
SSE =
MSE =
d. Specify the competing hypotheses in order to determine whether some differences exist between the population means.
(Which one is correct below)
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H0: μA ≥ μB ≥ μC; HA: Not all population means are equal.
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H0: μA = μB = μC; HA: Not all population means are equal.
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H0: μA ≤ μB ≤ μC; HA: Not all population means are equal.
e-1. Calculate the value of the F(df1, df2) test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
Test statistic =
e-2. Find the p-value.
(Which one is correct below)
- 0.01 ≤ p-value < 0.025
- 0.05 ≤ p-value < 0.10
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p-value < 0.01
- p-value ≥ 0.10
- 0.025 ≤ p-value < 0.05
f. At the 10% significance level, what is the conclusion to the test?
(Which one is correct below)
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Do not reject H0 since the p-value is not less than significance level
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Reject H0 since the p-value is less than significance level
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Reject H0 since the p-value is not less than significance level
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Do not reject H0 since the p-value is less than significance level
g. Interpret the results at α = 0.10.
(Which one is correct below)
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We conclude that some means differ.
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We cannot conclude that some means differ.
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We cannot conclude that all means differ.
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We cannot conclude that population mean C is greater than population mean A.
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