Homework SourseA random sample of five observations from three treatments p
A random sample of five observations from three treatments produced the following data: Use Table 4.
Treatments
Calculate the grand mean. (Round your answer to 2 decimal places.)
Calculate SSTR and MSTR. (Round intermediate values to 4 decimal places and final answers to 2 decimal places.)
Calculate SSE and MSE. (Round intermediate values to 4 decimal places and final answers to 2 decimal places.)
Specify the competing hypotheses in order to determine whether some differences exist between the population means.
Calculate the value of the F(df1,df2) test statistic. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Using the critical value approach at the 5% significance level, what is the conclusion to the test?
| A random sample of five observations from three treatments produced the following data: Use Table 4. |
Solution
(a)(24*5+23*5+21*5)/15 = 22.67
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(b)
SSTR =23.33
MSTR =11.67
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(c)SSE=62.00
MSE=5.17
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(d)H0: ?A = ?B = ?C; HA: Not all population means are equal.
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(e)Test statistic = 2.26
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(f)Do not reject H0 since the value of the test statistic does not exceed 3.89.
| ANOVA table | |||||
| Source | SS | df | MS | F | p-value |
| Treatment | 23.33 | 2 | 11.667 | 2.26 | .1471 |
| Error | 62.00 | 12 | 5.167 | ||
| Total | 85.33 | 14 |
