An experiment was conducted to study the use of 95% ethanol versus 20% bleach as a disinfectant in removing contamination when culturing plant tissues. The experiment was repeated 15 times with each disinfectant, using cuttings of eggplant tissue. The observation reported was the number of uncontaminated eggplant cuttings after a 4-week storage. Disinfectant 95% Ethanol 20% Bleach Mean 3.76 4.88 Variance 2.78093 0.17148 15 15 Pooled variance 1.47621 (a) Are you willing to assume that the underlying variances are equal? Yes, the ratio of the larger variance to the smaller variance is less than three. Yes, the ratio of the larger variance to the smaller variance is more than three. No, the ratio of the larger variance to the smaller variance is less than three. No, the ratio of the larger variance to the smaller variance is more than three. It is not possible to check that assumption with the given information. (b) Using the information from part (a), is there evidence of a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants tested? (Use u, for 95% ethanol disinfectant and u, for 20% bleach disinfectant. Use a = 0.05.) State the null and alternative hypotheses. Ho: (H1 - H2) # 0 versus H,: (H1 - H2) = 0 Ho: (H1 - H2) = 0 versus Ha: (u1 - 42) # 0 Ho: (H, - H2) = 0 versus H: (µ1 - H2) > 0 Ho: (H, - H2) < 0 versus H: (u, – H2) > 0 = 0 versus H,: (H, - H2) < 0 (?71 – T1) :"H State the test statistic. (Round your answer to three decimal places.) t = -1.12
An experiment was conducted to study the use of 95% ethanol versus 20% bleach as a disinfectant in removing contamination when culturing plant tissues. The experiment was repeated 15 times with each disinfectant, using cuttings of eggplant tissue. The observation reported was the number of uncontaminated eggplant cuttings after a 4-week storage. Disinfectant 95% Ethanol 20% Bleach Mean 3.76 4.88 Variance 2.78093 0.17148 15 15 Pooled variance 1.47621 (a) Are you willing to assume that the underlying variances are equal? Yes, the ratio of the larger variance to the smaller variance is less than three. Yes, the ratio of the larger variance to the smaller variance is more than three. No, the ratio of the larger variance to the smaller variance is less than three. No, the ratio of the larger variance to the smaller variance is more than three. It is not possible to check that assumption with the given information. (b) Using the information from part (a), is there evidence of a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants tested? (Use u, for 95% ethanol disinfectant and u, for 20% bleach disinfectant. Use a = 0.05.) State the null and alternative hypotheses. Ho: (H1 - H2) # 0 versus H,: (H1 - H2) = 0 Ho: (H1 - H2) = 0 versus Ha: (u1 - 42) # 0 Ho: (H, - H2) = 0 versus H: (µ1 - H2) > 0 Ho: (H, - H2) < 0 versus H: (u, – H2) > 0 = 0 versus H,: (H, - H2) < 0 (?71 – T1) :"H State the test statistic. (Round your answer to three decimal places.) t = -1.12
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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