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Section 12.3 Homework-Eliyah Atkins - Google Chrome X xlitemprod.pearsoncmg.com/api/v1/print/math Student: Eliyah Atkins Instructor: Stephen Trouard Date: 09/06/20 Course: DAT 473 A Fall 2020 Assignment: Section 12.3 Homework Print 2. Consider the following data for a two-factor experiment as shown to the right. Complete parts a through Factor A Level 1 Level 2 Level 3 32 Level 1 44 Factor B 34 Level 2 32 a. Based on the sample data, do factors A and B have significant interaction? State the appropriate null and alternative hypotheses and test using a significance level of 0.05 Choose the correct hypotheses below. O A. Ho: Factors A and B do not interact to affect the mean response HA: Factors A and B do interact to affect the mean response O B. Ho: Factors A and B do interact HA: Factors A and B do not interact to affect the mean response O C. Ho: Factors A and B do interact HA: Not all factor A and factor B means are equal 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. O A. Reject Ho- There is insufficient evidence that factors A and B do interact. O B. Do not reject Ho. There is sufficient evidence that factors A and B do interact. O C. Do not reject Ho. There is insufficient evidence that factors A and B do interact. O D. Reject Ho- There is sufficient evidence that not all factor A and factor B means are equal. b. Based on the sample data, can you conclude that the levels of factor A have equal means? Test using a significance level of 0.05. Choose the correct hypotheses below. O A. Ho: HA1 = HA2 = HA3 HA : HA1 # HA2 # HA3 O B. Ho: HA1 = HA2 = HA3 HA: At least two levels of factor A have different mean responses O C. Ho: At least two levels of factor A have different mean responses HA HA1 = HA2 = HA3 Find the test statistic F. F = Round to three decimal places as needed.) Find the p-value Type here to search O 11:20 AM 9/6/2020Section 12.3 Homework-Eliyah Atkins - Google Chrome X xlitemprod.pearsoncmg.com/api/v1/print/math b. Based on the sample data, can you conclude that the levels of factor A have equal means? Test using a significance level of 0.05. Print Choose the correct hypotheses below. O A. Ho: HA1 = HA2 = HA3 HA : HA1 # HA2 # HA3 O B. Ho: HA1 = HA2 = HA3 HA: At least two levels of factor A have different mean responses O C. Ho: At least two levels of factor A have different mean responses HA : HA1 = HA2 = HA3 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. O A. Reject Ho. There is insufficient evidence that at least two levels of factor A have different mean responses. O B. Do not reject Ho. There is sufficient evidence that HA1 = HA2 = HA3- O C. Do not reject Ho. There is insufficient evidence that at least two levels of factor A have different mean responses. O D. Reject Ho. There is sufficient evidence that HA1 = HA2 = HA3 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. Ho: HB1 = HB2 HA : HB1 > HB2 O B. Ho: HB1 = HB2 HA: HB1 # HB2 O C. Ho: HB1 > HB2 HA : HB1 # HB2 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. O A. Reject Ho. There is insufficient evidence that HB1 # HB2. O B. Do not reject Ho. There is insufficient evidence that HB1 # HB2- O C. Reject Ho. There is sufficient evidence that at least two levels of factor B have different mean responses. O D. Do not reject Ho. There is sufficient evidence that at least two levels of factor B have different mean responses. Type here to search O Ei 11:20 AM 9/6/2020Section 12.3 Homework-Eliyah Atkins - Google Chrome X xlitemprod.pearsoncmg.com/api/v1/print/math Student: Eliyah Atkins Instructor: Stephen Trouard Date: 09/06/20 Course: DAT 473 A Fall 2020 Assignment: Section 12.3 Homework Print 3. Consider the given partially completed two-factor analysis of variance table, where factor A has four levels and factor B Source of Variation SS MS F-Ratio has three levels. The number of replications was 11 in each cell. Complete parts a through d. Factor A 323.2 Factor B 106.55 AB Interaction 1, 102.4 6 Error 261.4 Total 1,900.1 131 a. Complete the analysis of variance table. Source of Variation SS df MS F-Ratio Factor A 323.2 Factor B 106.5 AB Interaction 1, 102.4 Error 261.4 Total 1,900.1 131 (Type integers or decimals rounded to two decimal places as needed.) b. Based on the sample data, can you conclude that the two factors have significant interaction? Test using a significance level equal to 0.05. Identify the null and alternative hypotheses O A. Ho: Not all factor A and factor B means are equal. HA : HA1 = HA2 = HA3 = HA4 =HB1 = HB2 = HB3 O B. Ho: Factors A and B do not interact to affect the mean response. HA: Factors A and B do interact to affect the mean response. O C. Ho: Factors A and B do interact to affect the mean response. HA: Factors A and B do not interact to affect the mean response. O D. Ho: HA1 = HA2 = HA3 = HA4 = HB1 = HB2 =HB3 HA: Not all factor A and factor B means are equal. Find the test statistic F. F = (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) Choose the correct conclusion below. O A. Reject Ho. There is insufficient evidence that factors A and B do interact. O B. Do not reject Ho. There is sufficient evidence that factors A and B do interact. O C. Do not reject Ho. There is insufficient evidence that not all factor A and factor B means are equal. O D. Reject Ho. There is sufficient evidence that factors A and B do interact. c. Based on the sample data, should you conclude that the means for factor A differ across the four levels or the means for factor B differ across the three levels? Discuss. What test can be performed with the data provided? O A. Test factor A and factor B because interaction is not present. O B. No test can be performed because interaction is present and sufficient data has not been given to test the levels of one of the factors using only one level of the other factor. Type here to search O X P 11:22 AM 9/6/2020Section 12.3 Homework-Eliyah Atkins - Google Chrome X xlitemprod.pearsoncmg.com/api/v1/print/math What test can be performed with the data provided? Print O A. Test factor A and factor B because interaction is not present. O B. No test can be performed because interaction is present and sufficient data has not been given to test the levels of one of the factors using only one level of the other factor. O C. Test the levels of factor A using only one level of factor B, and vice versa, because interaction is not present. O D. Test factor A and factor B because interaction is present. O E. Test the levels of factor A using only one level of factor B, and vice versa, because interaction is present. Perform the appropriate test for factor A, if possible. Choose the correct hypotheses below. O A. Ho: HA1B1 = HA2B1 = HA3B1 = HA481 HA: At least two levels of factor A at factor B level 1 have different mean responses. O B. Ho: At least two levels of factor A have different mean responses. HA : HA1 = HA2 = HA3 = HA4 O C. Ho: At least two levels of factor A at factor B level 1 have different mean responses. HA : HAIB1 = HA2B1 = HA3B1 = HA481 O D. Ho: HA1 = HA2 = HA3 = HA4 HA: At least two levels of factor A have different mean responses. O E. No test can be performed Find the test statistic F, if possible. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. F= (Round to two decimal places as needed.) O B. No test can be performed. Find the p-value, if possible. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. p-value = (Round to three decimal places as needed.) O B. No test can be performed. Determine the conclusion, if possible. Use a significance level of 0.10 as needed. O A. Reject Ho- There is sufficient evidence that at least two levels of factor A have different mean responses. O B. Do not reject Ho. There is insufficient evidence that at least two levels of factor A at factor B level 1 have different mean responses.. O C. Reject Ho. There is insufficient evidence that at least two levels of factor A at factor B level 1 have different mean responses. O D. Do not reject Ho. There is sufficient evidence that at least two levels of factor A have different mean responses O E. No conclusion can be made. Perform the appropriate test for factor B, if possible. Choose the correct hypotheses below. O A. Ho: HB1 = HB2 = HB3 = HB4 HA: At least two levels of factor B have different mean responses. O B. Ho: HB1A1 = HB2A1 = HB3A1 HA: At least two levels of factor B at factor A level 1 have different mean responses. O C. Ho: At least two levels of factor B have different mean responses. HA: HB1 # HB2 # HB3 # HB4 O D. Ho: HB1A1 = HB2A1 = HB3A1 I . At lanet then lavale of factor R at factor A laval 1 haun different maan reenanear Type here to search O Cm 11:22 AM 9/6/2020Section 12.3 Homework-Eliyah Atkins - Google Chrome X xlitemprod.pearsoncmg.com/api/v1/print/math O A. p-value = (Round to three decimal places as needed.) Print O B. No test can be performed. Determine the conclusion, if possible. Use a significance level of 0.10 as needed. O A. Reject Ho. There is sufficient evidence that at least two levels of factor A have different mean responses. O B. Do not reject Ho. There is insufficient evidence that at least two levels of factor A at factor B level 1 have different mean responses. O C. Reject Ho- There is insufficient evidence that at least two levels of factor A at factor B level 1 have different mean responses.. O D. Do not reject Ho. There is sufficient evidence that at least two levels of factor A have different mean responses. O E. No conclusion can be made Perform the appropriate test for factor B, if possible. Choose the correct hypotheses below. O A. Ho: HB1 = HB2 = HB3 = HB4 HA: At least two levels of factor B have different mean responses. O B. Ho: HB1A1 = HB2A1 = HB3A1 HA: At least two levels of factor B at factor A level 1 have different mean responses. O C. Ho: At least two levels of factor B have different mean responses HA: HB1 # HB2 # HB3 # HB4 O D. Ho: HB1A1 = HB2A1 = HB3A1 HA: At least two levels of factor B at factor A level 1 have different mean responses. O E. No test can be performed Find the test statistic F, if possible. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. F = (Round to two decimal places as needed.) O B. No test can be performed. Find the p-value, if possible. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. p-value = (Round to three decimal places as needed.) O B. No test can be performed. Determine the conclusion, if possible. Use a significance level of 0.10 as needed. O A. Reject Ho- There is insufficient evidence that at least two levels of factor B at factor A level 1 have different mean responses. O B. Reject Ho- There is sufficient evidence that at least two levels of factor B have different mean responses O C. Do not reject Ho. There is insufficient evidence at least two levels of factor B at factor A level 1 have different mean responses. O D. Do not reject Ho. There is sufficient evidence that at least two levels of factor B have different mean responses. O E. No conclusion can be made. d. Considering the outcome of part b, determine what can be said concerning the differences of the levels of factors A and B. Use a significance level of 0.10 for any hypothesis tests required. Provide a rationale for your response to this question. O A. There is sufficient evidence that the factor A levels and the factor B levels have different mean responses. O B. There is sufficient evidence that the factor A levels have different mean responses and the levels of factor B. The same can be said for factor B. O C. Nothing can be said definitively because interaction is present and sufficient data has not been given to test the levels of one of the factors using only one level of the other factor. O D. There is insufficient evidence that the factor A levels and the factor B levels have different mean responses. Type here to search O X P 11:23 AM 9/6/2020