Need some help on these anova problems

Section 12.1 Homework-Eliyah Atkins - Google Chrome X xlitemprod.pearsoncmg.com/api/v1/print/math Student: Eliyah Atkins Instructor: Stephen Trouard Assignment: Section 12.1 Homework Print Date: 09/05/20 Course: DAT 473 A Fall 2020 8. One facet of a company's expertise is the development of dielectric fluids in electrical equipment. Mineral oil-based dielectric fluids have been used more extensively than other dielectric fluids. Their only shortcomings are their relatively low flash and fire point. One study examined the fire point of mineral oil, high-molecular- weight hydrocarbon (HMWH), and silicone. The fire points for each of these fluids are recorded in the following table. Assume that the data are approximately normal. Complete parts a and b. Click the icon to view the sample data. a. Develop the appropriate ANOVA table to determine if there is a difference in the average fire points among the types of dielectric fluids. Use a significance level of 0.01. Identify the hypotheses for the test. Choose the correct answer below. OA. Ho: H, # H2 Ha HA: At least two of the population means are equal O B. Ho: H, # H2 # Ha HA: All of the population means are equal O C. Ho: H1 = H2 = H3 HA: All of the population means are different D. Ho: H, = H2 = H3 HA: At least two of the population means are different State the decision rule at the o= 0.01 level of significance. Select the correct choice below and fill in any answer boxes in your choice. Round to three decimal places as needed.) O A. IfF reject the null hypothesis. Otherwise, do not reject OC. IfF reject the null hypothesis. Otherwise, do not reject. Complete the ANOVA table. ANOVA Source of Variation SS df MS Between groups Within groups Total (Round to three decimal places as needed.) Reach a decision. the null hypothesis. There is (2) evidence that (3) - of the population means are (4). b. If warranted, use the Tukey-Kramer procedure to determine which populations have different mean fire points. Use an experiment-wide error rate of 0.01. Significant Difference Mineral Oil vs. HMWH (5 Mineral Oil vs. Silicone 6 HMWH vs. Silicone (7) 1: Sample Data Fluid Fire Points ( C) Mineral Oil 152 144 169 160 170 HMWH 315 316 299 316 Cilicann 237 241 314 226 220 Type here to search O X 3:58 PM 9/5/2020Section 12.1 Homework-Eliyah Atkins - Google Chrome X xlitemprod.pearsoncmg.com/api/v1/print/math a. Develop the appropriate ANOVA table to determine if there is a difference in the average fire points among the types of dielectric fluids. Use a significance level of 0.01. Print Identify the hypotheses for the test. Choose the correct answer below. O A. Ho: H, # H2 Ha HA: At least two of the population means are equal OB. Ho: H, # H2 # H3 HA: All of the population means are equal O C. Ho: H, = H2 = H3 HA: All of the population means are different D. Ho: H1 = H2 = H3 HA: At least two of the population means are different State the decision rule at the a = 0.01 level of significance. Select the correct choice below and fill in any answer boxes in your choice. Round to three decimal places as needed. OA. IfF reject the null hypothesis. Otherwise, do not reject. OC. IfF reject the null hypothesis. Otherwise, do not reject. Complete the ANOVA table ANOVA Source of Variation SS MS Between groups Within groups Total (Round to three decimal places as needed.) Reach a decision. (1) the null hypothesis. There is (2) evidence that (3) of the population means are (4) b. If warranted, use the Tukey-Kramer procedure to determine which populations have different mean fire points. Use an experiment-wide error rate of 0.01. Significant Difference Mineral Oil vs. HMWH 5 Mineral Oil vs. Silicone (6 HMWH vs. Silicone (7 1: Sample Data Fluid Fire Points ( C) Mineral Oil 152 144 169 160 170 HMWH 315 316 299 316 314 Silicone 337 335 341 338 329 (1) O Do not reject (2) O sufficient (3) O at least two (4) O equal. (5) O No (6) O Procedure not warranted (7) O No O Reject O insufficient O all different. O Procedure not warranted O No Yes O Yes Yes O Procedure not warranted Type here to search O X 3:58 PM 9/5/2020Section 12.1 Homework-Eliyah Atkins - Google Chrome X xlitemprod.pearsoncmg.com/api/v1/print/math Student: Eliyah Atkins Instructor: Stephen Trouard Date: 09/05/20 Course: DAT 473 A Fall 2020 Assignment: Section 12.1 Homework Print 9. Suppose as part of your job you are responsible for installing emergency lighting in a series of state office buildings. Bids have been received from four manufacturers of battery-operated emergency lights. The costs are about equal, so the decision will be based on the length of time the lights last before failing. A sample of four lights from each manufacturer has been tested with the following values (time in hours) recorded for each manufacturer. Assume that the data are approximately normal. Complete parts a and b. Click the icon to view the sample data. a. Using a significance level of 0.01, what conclusion should you reach about the four manufacturers' battery-operated emergency lights? Explain. Identify the hypotheses for the test. Choose the correct answer below O A. Ho: H, # H2 7 13 # H4 HA: All of the population means are equal O B. Ho: H, # H2 # H3 # H4 HA: At least two of the population means are equal C. Ho: H, = H2 = H3 = H4 HA: At least two of the population means are different O D. Ho: H1 = H2 = H3 = H4 HA: All of the population means are different State the decision rule at the o= 0.01 level of significance. Select the correct choice below and fill in any answer boxes in your choice (Round to three decimal places as needed.) O A. IfF , reject the null hypothesis. Otherwise, do not reject. O B. IfF > reject the null hypothesis. Otherwise, do not reject OC. IfF reject the null hypothesis. Otherwise, do not reject. O B. If p-value > reject the null hypothesis. Otherwise, do O C. If p-value reject the null hypothesis. Otherwise, do not reject. O B. If p-value reject the null hypothesis. Otherwise, do not reject. Determine the value of the test statistic. := (Round to two decimal places as needed.) Determine the value of the p-value. p-value = (Round to four decimal places as needed.) Reach a decision. the null hypothesis. There is (2) - evidence that (3) _ of the population means are (4) b. Which manufacturer produces the battery with the longest average length of life? If warranted, conduct the Tukey-Kramer procedure to determine this. Use a significance level of 0.05. Which populations, if any, have different means by the Tukey-Kramer procedure? Comparison ignificant Difference A and B (5) A and C (6) B and C What can you conclude about the average length of life for these manufacturers? O A. Manufacturers A and B produce batteries with longer average length of life than C. O B. Manufacturer B produces batteries with longer average length of life than A or C. O C. Manufacturers B and C produce batteries with longer average length of life than A. O D. Manufacturers A and C produce batteries with longer average length of life than B. O E. Manufacturer A produces batteries with longer average length of life than B or C. OF. Manufacturer C produces batteries with longer average length of life than A or B. O G. There is no difference in average lengths of life for the three manufacturers Type here to search O Ei 4:00 PM 9/5/2020X Section 12.1 Homework-Eliyah Atkins - Google Chrome Axlitemprod.pearsoncmg.com/api/v1/print/math U G. There is no difference in average lengths of life for the three manufacturers. Print 1: Sample Data 2: Distribution of the Studentized Range (q-values) P=0.95 2 3 5 6 7 8 10 7.97 26.98 32.82 37.08 40.41 3.12 45.40 47.36 49.07 JanAwN 6.0 8.33 9.80 10.88 11.74 12.44 13.03 13.54 13.99 4.50 5.91 6.82 7.50 8.04 8.48 8.85 9.18 9.46 3.93 5.0 5.76 6.20 6.71 7.05 7.35 7.60 7.83 3.64 4.60 5.22 5.67 6.03 6.33 6.58 6.80 6.99 3.46 4.34 4.90 5.30 5.63 5.90 6.12 6.32 6.49 3.34 4.16 4.68 5.06 5.36 5.61 5.82 6.00 6.16 3.26 4.04 4.53 4 89 5.17 5.40 5.60 5.77 5.92 3.20 3.95 4.41 4 76 5.02 5.24 5.43 5.59 5.74 10 3.15 3.88 4.33 4.65 4.91 5.12 5.30 5.46 5.60 11 3.11 3.82 4.26 4.57 4.82 5.03 5.20 5.35 5.49 3.0 4.20 4.51 4.75 4.95 5.12 5.27 5.39 3.06 3.77 3.73 4.15 4.45 4.69 4.88 5.05 5.19 5.32 3.0 3.70 4.11 4.41 4.64 4.83 4.99 5 13 5.25 3.01 3.67 4.08 4.37 4.59 4.78 4.94 5.08 5.20 3.0 3.65 4.05 4.33 4.56 4.74 4.90 5.03 5.15 17 2.9 3.63 4.02 4.30 4.52 4.70 4.86 4.99 5.11 18 297 3.61 4.00 4.28 4.49 4.67 4.82 4.96 5.07 19 2.9 3.59 3.98 4.25 4.47 4.65 4.79 1.92 5.04 2.95 3.58 3.96 4.23 4.45 4.62 4.77 4.90 5.01 2.92 3.53 3.90 4.17 4.37 4.54 4.68 4.81 4.92 30 2.89 3.49 3.85 4.10 4.30 4.46 4.60 4.72 4.82 40 2.86 3.44 3.79 4.04 4.23 4.39 4.52 4.63 4.73 60 2.83 3.40 3.74 3.98 4.16 4.31 4.44 4.55 4.65 120 2.80 3.36 3.68 3.92 4.10 4.24 4.36 4.47 4.56 2 77 2 21 2 86 1 17 1 20 4:00 PM X 9/5/2020 Type here to search OSection 12.1 Homework-Eliyah Atkins - Google Chrome X xlitemprod.pearsoncmg.com/api/v1/print/math Print 2: Distribution of the Studentized Range (q-values) P=0.95 D, 2 3 4 5 6 7 8 9 10 17.97 6.98 32.82 37.08 40.41 3.12 45.40 47.30 49.07 6.0 8.33 9.80 10.88 11.74 12.44 13.03 13.54 13.99 4.5 5.9 6.82 7 50 8.04 8.48 8.85 9.18 9.46 3.9 5.04 5.76 6.29 6.71 7.05 7.35 7.60 7.83 3.64 4.60 5.22 5.67 6.03 6.33 6.58 6.80 6.99 3.46 4.34 4.90 5,30 5.63 5.90 6.12 6.32 6.49 3.34 4.16 4.68 5.06 5.36 5.61 5.82 6.00 6.16 3.26 4.04 4.53 4.89 5.17 5.40 5.60 5.77 5.92 3.20 3.95 4.41 4.76 5.02 5.24 5.43 5.59 5.74 3.15 3.88 4.33 4.65 4.91 5.12 5.30 5.46 5.60 3.11 3.82 4.26 4.57 4.82 5.03 5.20 5.35 5.49 3.0 3.77 4.20 4.51 4.75 4.95 5.12 5.27 5.39 3.06 3.73 4.15 4.45 4.69 4.88 5.05 5.19 5.32 3.0 4.11 4.41 4.64 4.83 4.99 5.13 5.25 3.01 3.70 .67 4.08 4.37 4.59 4.78 4.94 5.08 5.20 3.0 4.05 4.33 4.56 4.74 4.90 5.03 5.15 2.98 4.02 4.30 4.52 4.70 4.86 4.99 5.11 2.97 19 3.61 4.00 4.28 4.49 4.67 4.82 4 96 5.07 2.96 36'E 4.25 4.47 4.65 4.79 4.92 5.04 20 2.95 3.59 3.58 3.96 4.23 4.45 4.62 4.77 4.90 5.01 2.92 3.53 4.17 4.37 4.54 4.68 4.81 4.92 30 3.90 2.89 3.49 3.85 4.10 4.30 4.46 4.60 4.72 4.82 40 2.86 3.44 3.79 4.04 4.23 4.39 4.52 4.63 4.73 60 2.83 3.98 4.16 4.44 4.55 4.65 120 2.80 3.40 3.74 4.31 3.36 3.68 3.92 4.10 4.24 4.36 4.47 4.56 2.77 3.31 3.63 3.86 4.03 4.17 4.29 4.39 4.47 (1) O Do not reject (2) O insufficient (3) O at least two (4) O different. (5) Yes (6) O Procedure not warranted (7) O No O Reject O sufficient O all equal. No O No O Procedure not warranted O Procedure not warranted O Yes Yes Type here to search O 4:00 PM 9/5/2020