Random sampling from four normally distributed populations produced the following data: (You may find it useful to reference the F table.) Treatments A B C D −17 −20 −7 −15 −7 −18 −19 −13 −13 −12 −18 −19 −19 −8 −4
This is a practice exam. I would like to know how to solve using excel or megastat
Random sampling from four
Treatments | ||||||||||||||
A | B | C | D | |||||||||||
−17 | −20 | −7 | −15 | |||||||||||
−7 | −18 | −19 | −13 | |||||||||||
−13 | −12 | −18 | −19 | |||||||||||
−19 | −8 | |||||||||||||
−4 | ||||||||||||||
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a. Calculate the grand mean. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)
b. Calculate SSTR and MSTR. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
c. Calculate SSE and MSE. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
d. Specify the competing hypotheses in order to determine whether some differences exist between the population means.
multiple choice 1
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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.)
e-2. Find the p-value.
multiple choice 2
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p-value < 0.01
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0.01 p-value < 0.025
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0.05 p-value < 0.10
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0.025 p-value < 0.05
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p-value 0.10
f. At the 10% significance level, what is the conclusion to the test?
multiple choice 3
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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.
multiple choice 4
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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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