Work on separate paper. There are FOUR problems. 1. The antibiotic gentamicin su

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Work on separate paper. There are FOUR problems. 1. The antibiotic gentamicin sulphate is often blended with acrylic bone cement to help prevent infection following joint replacement surgery. A study of the effect of the amount of antibiotic added on various properties of the cement was done. Following are measurements of the setting time of the cement, for six levels of antibiotic amount, and three replications per level. The measurements are consistent with means and standard deviations presented in the study. A One way ANOVA is to be run on this data using significance level 0.05 (thus, = 0.05). Antibiotic per 40 g Cement Setting Time (min) 127 14.1 132 13.5 14.5 14.6 12.7 13.4 132 127 136 14.1 13.4 135 143 145 13.5 149 0g 0.5 g 2 9 3 g 4 g a. What is the response variable? b. List all factors. c. List levels of each factor. d. Is this a balanced design? e. State the null hypothesis. f. State the alternative hypothesis The ANOVA table is given below. Source Cement Error Total DF 9) h) MS k) 4.803 0.086 9.343 g-m. Find the missing values in the table for partsg through m. n. Did you reject Ho? Explain. o. What is your conclusion based on part (n)? Edi

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Work on separate paper. There are FOUR problems. 1. The antibiotic gentamicin sulphate is often blended with acrylic bone cement to help prevent infection following joint replacement surgery. A study of the effect of the amount of antibiotic added on various properties of the cement was done. Following are measurements of the setting time of the cement, for six levels of antibiotic amount, and three replications per level. The measurements are consistent with means and standard deviations presented in the study. A One way ANOVA is to be run on this data using significance level 0.05 (thus, = 0.05). Antibiotic per 40 g Cement Setting Time (min) 127 14.1 132 13.5 14.5 14.6 12.7 13.4 132 127 136 14.1 13.4 135 143 145 13.5 149 0g 0.5 g 2 9 3 g 4 g a. What is the response variable? b. List all factors. c. List levels of each factor. d. Is this a balanced design? e. State the null hypothesis. f. State the alternative hypothesis The ANOVA table is given below. Source Cement Error Total DF 9) h) MS k) 4.803 0.086 9.343 g-m. Find the missing values in the table for partsg through m. n. Did you reject Ho? Explain. o. What is your conclusion based on part (n)? Edi

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