1. [!1 Points] ASWSBE13 13.E.009.M|. You may need to use the appropriate technology to answer this question. To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow. Temperature 50C 60C 70C 34 3D 22 25 31 28 35 34 29 38 24 29 33 26 32 Construct an analysis of variance table. (Round your values for MSE and Fto two decimal places, and your pvalue to four decimal places.) of 3:23:13" of Ssquurgres ofDIErgerlfifcfm 5:32:13 F p-Value Treatments Error Total Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process. State the null and alternative 1ypotheses. H0: Not al the population means are ecual. Ha: .\"SDIC = .\"GUIC = Wow: \"0: llsmc = Fame = .\"TD'C . . 4 .. 1 Ha' \"50H: ' r'soIc- l'mIc H0: l'smc '2 -\"60=C= \"70%: Ha: .\"SDIC = .\"GUIC = \"mm Ho: llso=c = Fame = .\"TD'C Ha: Not all the population means are equal. H0: At least two of the population means are equal. Ha: 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 lcrevalue. (Round your answer to four decimal places.) pvalue = State your conclusion. Reject H0. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Reject H0. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Do not reject H0. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Do not reject H0. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal. "-lt.'._'-il li-Z.'::J'." My!!! . I. gleam: 2. [41 Points] ASWSBE1313.E.023.MI, You may need to use the appropriate technology to answer this question. An experiment has been conducted for fourtreatments with seven blocks. Complete the folloWing analysis of variance table. (Round your values for mean squares and Fto two decimal places, and your p-value to three decimal places.) of glfiion of Ssquulgres DPFErEiarEElggm 5,3532 F pivalue Treatments 1,500 Blocks 400 Error Total 2,500 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. Ho: Not all the population means are equal. Ho: #1 : P2 .3 J4 Ha: Not all the population means are equal. Ho: At leasttwo of the population means are equal. Ha: 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 three decimal places.) p-yalue = State your conclusion. Reject Ho- There is sufficient evidence to conclude that the means of the four treatments are not all equal. Do not reject Ho- There is sufficient evidence to conclude that the means of the four treatments are not all equal. Do not reject Ho' There is not sufficient evidence to conclude that the means of the four treatments are not all equal. Reject Ho' There is not sufficient evidence to conclude that the means of the four treatments are not all equal. "li'ocl l: _i')| Rudlt l rum-Ii 3. [-/1 Points] DETAILS ASWSBE13 13.E.025.ALT. MY NOTES DATAfile: MidwestGas You may need to use the appropriate technology to answer this question. The price drivers pay for gasoline often varies a great deal across regions throughout the United States. The following data show the price per gallon for regular gasoline for a random sample of gasoline service stations for three major brands of gasoline (Shell, BP, and Marathon) located in 11 metropolitan areas across the upper Midwest region. Metropolitan Area Shell BP Marathon Akron, Ohio 3.77 3.83 3.78 Cincinnati, Ohio 3.72 3.8 3.87 Cleveland, Ohio 3.87 3.85 3.89 Columbus, Ohio 3.76 3.77 3.79 Ft. Wayne, Indiana 3.83 3.84 3.87 Indianapolis, Indiana 3.85 3.84 3.87 Lansing, Michigan 3.93 4.04 3.99 Lexington, Kentucky 3.79 3.78 3.79 Louisville, Kentucky 3.78 3.84 3.79 Muncie, Indiana 3.81 3.84 3.83 Toledo, Ohio 3.69 3.83 3.86 Use a = 0.05 to test for any significant difference in the mean price of gasoline for the three brands. State the null and alternative hypotheses. O Ho: "Shell # MBP F /Marathon Ha: HShell = /Bp = /Marathon O Ho: HShell = HBP = /Marathon He: Not all the population means are equal. O Ho: Not all the population means are equal. Hai HShell = Hep = /Marathon O Ho: At least two of the population means are equal. Ha: At least two of the population means are different. O Ho: Hshell = HBP = /Marathon Ha: HShell # Hep = /Marathon Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the mean price per gallon for regular gasoline among the three brands. Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference in the mean price per gallon for regular gasoline among the three brands. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the mean price per gallon for regular gasoline among the three brands. O Reject Ho. There is sufficient evidence to conclude that there is a significant difference in the mean price per gallon for regular gasoline among the three brands. Need Help? Read It4. [-/1 Points] DETAILS ASWSBE13 13.E.031.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You may need to use the appropriate technology to answer this question. An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use a = 0.05. Type of Rid Roller Coaster Screaming Demon Log Flume 4 52 50 Method 1 43 44 46 49 50 48 Method 2 51 46 44 Find the value of the test statistic for method of loading and unloading. Find the p-value for method of loading and unloading. (Round your answer to three decimal places.) p-value = State your conclusion about method of loading and unloading. Because the p-value s a = 0.05, method of loading and unloading is significant. O Because the p-value > a = 0.05, method of loading and unloading is significant. Because the p-value > a = 0.05, method of loading and unloading is not significant. O Because the p-value s a = 0.05, method of loading and unloading is not significant. Find the value of the test statistic for type of ride. Find the p-value for type of ride. (Round your answer to three decimal places.) p-value = State your conclusion about type of ride. Because the p-value s a = 0.05, type of ride is not significant. O Because the p-value s a = 0.05, type of ride is significant. O Because the p-value > a = 0.05, type of ride is not significant. Because the p-value > a = 0.05, type of ride is significant. Find the value of the test statistic for interaction between method of loading and unloading and type of ride. Find the p-value for interaction between method of loading and unloading and type of ride. (Round your answer to three decimal places.) p-value = State your conclusion about interaction between method of loading and unloading and type of ride. Because the p-value > a = 0.05, interaction between method of loading and unloading and type of ride is significant. Because the p-value s a = en method of loading and unloading and type of ride is significant. O Because the p-value > a = 0.05, interac method of lo ding and type of ride is not significant. O Because the p-value s a = 0.05, interaction between method of loading and unloading and type of ride is not significant. Need Help? Read It Master It\fDistribution Tables | Normal Distribution | tDistribution | Binomial Distribution I x2Distribution | FDistribution | Geometric Distribution Hypergeometric Distribution | Poisson Distribution Normal Distribution area left 0 right 0 middle 0 twotailed This is the graph ofa standard normal distribution that has a horizonal axis labeled from 75 to 5 in increments ofl. The area under the curve from 1.2 to the left is shaded. "he area ofthe shaded region is 0.88493