In an experiment designed to test the output levels of three different treatments, the following results were obtained: SST = 340, SSTR = 130, n_T = 19. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) | Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p-value | | :--- | :--- | :--- | :--- | :--- | :--- | | Treatments | | | | | | | Error | | | | | | | Total | | | | | | Test for any significant difference between the mean output levels of the three treatments. Use ? = 0.05. State the null and alternative hypotheses. ? H_0: Not all the population means are equal. H_a: ?_1 = ?_2 = ?_3 ? H_0: ?_1 = ?_2 = ?_3 H_a: Not all the population means are equal. ? H_0: ?_1 ? ?_2 ? ?_3 H_a: ?_1 = ?_2 = ?_3 ? H_0: At least two of the population means are equal. H_a: At least two of the population means are different. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. ? Reject H_0. There is sufficient evidence to conclude that the means of the three treatments are not equal. ? Do not reject H_0. There is sufficient evidence to conclude that the means of the three treatments are not equal. ? Reject H_0. There is not sufficient evidence to conclude that the means of the three treatments are not equal. ? Do not reject H_0. There is not sufficient evidence to conclude that the means of the three treatments are not equal.
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We know that the total sum of squares (SST) is the sum of the treatment sum of squares (SSTR) and the error sum of squares (SSE). So, we have: SSE = SST - SSTR = 340 - 130 = 210 Show more…
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In an experiment designed to test the output levels of three different treatments, the following results were obtained: SST $=400,$ SSTR $=150, n_{T}=19 .$ Set up the ANOVA table and test for any significant difference between the mean output levels of the three treatments. Use $\alpha=.05$ .
In an experiment designed to test the output levels of three different treatments, the following results were obtained: $\mathrm{SST}=400, \mathrm{SSTR}=150, n_{T}=19 .$ Set up the ANOVA table and test for any significant difference between the mean output levels of the three treatments. Use $\alpha=.05$.
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