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A two-way analysis of variance experiment with no interaction is conducted. Factor A has three levels...

A two-way analysis of variance experiment with no interaction is conducted. Factor A has three levels (columns) and Factor B has seven levels (rows). The results include the following sum of squares terms:

SST = 346.9 SSA = 196.3 SSE = 79.0

a. Construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS" to 2 decimal places, "MS" to 4 decimal places, "F" to 3 decimal places.)

Source SS df MS F p-value
Rows
Columns
Error
Total


b. At the 5% significance level, can you conclude that the row means differ?

  • Yes, since we reject the null hypothesis.

  • No, since we reject the null hypothesis.

  • Yes, since we do not reject the null hypothesis.

  • No, since we do not reject the null hypothesis.

c. At the 5% significance level, can you conclude that the column means differ?

  • Yes, since we reject the null hypothesis.

  • No, since we reject the null hypothesis.

  • Yes, since we do not reject the null hypothesis.

  • No, since we do not reject the null hypothesis.

Math   Statistics-And-Probability   
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