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

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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
Transcribed Image Text: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
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