Question

Consider the following data for a two-factor experiment as shown to the right. Complete parts a through c Factor A Level1 Le Level 3 34 31 34 25 Level 2 34 27 21 Level 1 45 Factor B 31 27 25 19 b. Based on the sample data, can you conclude that the levels of factor A have equal means? Test using a significance eve o o.05 Choose the correct hypotheses below. HA: At least two levels of factor A have different mean responses Ho: At least two levels of factor A have different mean responses O B. Find the test statistic F F. (Round to three decimal places as needed.) Find the p-value p-value-(Round to four decimal places as needed.) Choose the correct conclusion below 0 A. Reject Ho. There is insufficient evidence that at least two levels of factor A have different mean responses. 0 B. Do not reject Ho . There is sufficient evidence that μΑΙ-μΑ2-μΑ3. O c. Do not reject Ho . There is insufficient evidence that at least two levels of factor A have different mean responses. 0 D. Reject Ho . There is sufficient evidence that μΑι-μΑ2 A3- c. Do the data indicate that the levels of factor B have different means? Test using a significance level of 0.05 c. Do the data indicate that the levels of factor B have different means? Test using a significance level of 0.05. Choose the correct hypotheses below. O A. Find the test statistic F. F(Round to three decimal places as needed.) Find the p-value. p-value (Round to four decimal places as needed.) Choose the correct conclusion below 0 A. Do not reject Ho . There is insufficient evidence that μΒ1 μΒ2. O B. Do not reject Ho. There is sufficient evidence that at least two levels of factor B have different mean responses. ° C. Reject Ho . There is insufficient evidence that μΒΙ Έλ D. Reject Ho. There is sufficient evidence that at least two levels of factor B have different mean responses.

Answer 1

Applying one way ANOVA

b) option A is correct

test statistics F =2.583

p value =0.1167

option C is correct

c)

option A is correct

test statistics F =5.576

p value =0.0360

option D is correct