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. 95% Ethanol 20% Bleach 3.78 2.78099 4.84 0.17144 15 Disinfectant Mean Variance n 15 Pooled variance 1.47622 USE SALT (a) Are you willing to assume that the underlying variances are equal? O Yes, the ratio of the larger variance to the smaller variance is less than three. O Yes, the ratio of the larger variance to the smaller variance is more than three. O No, the ratio of the larger variance to the smaller variance is less than three. O No, the ratio of the larger variance to the smaller variance is more than three. O 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 μ, for 95% ethanol disinfectant and #₂ for 20% bleach disinfectant. Use a = 0.05.) State the null and alternative hypotheses. O Ho: (H₂-H₂) = 0 versus H₂: (H₁-H₂) > 0 O Ho: (H₁-H₂) = 0 versus H₂: (H₁-H₂) = 0 Ho: (H₁-H₂) = 0 versus H₂: (H₁-H₂) = 0 Ho: (H₁-H₂) < 0 versus H₂: (₂-₂) > 0 Ho: (₁H₂) = 0 versus H₂: (₁₂) <0 State the test statistic. (Round your answer to three decimal places.)

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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.
95% Ethanol 20% Bleach
3.78
2.78099
4.84
0.17144
15
15
Pooled variance 1.47622
Disinfectant
Mean
Variance
n
USE SALT
(a) Are you willing to assume that the underlying variances are equal?
O Yes, the ratio of the larger variance to the smaller variance is less than three.
O Yes, the ratio of the larger variance to the smaller variance is more than three.
O No, the ratio of the larger variance to the smaller variance is less than three.
O No, the ratio of the larger variance to the smaller variance is more than three.
O 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 μ₁ for 95% ethanol disinfectant and μ₂ for 20% bleach disinfectant. Use a = 0.05.)
State the null and alternative hypotheses.
O Ho: (M₁ M₂) = 0 versus H₂: (M₁ - H₂) > O
O Ho: (M₁M₂) = 0 versus H₂: (M₁ - 1₂) = 0
#
O H₁: (M₁M₂) = 0 versus H₂: (μ₁ −μ₂) #0
O Ho: (M₁M₂) < 0 versus H₂: (μ₁ −µ₂) > 0
O Ho: (M₁ M₂) = 0 versus H₂: (M₁ M₂) < 0
State the test statistic. (Round your answer to three decimal places.)
t =
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. 95% Ethanol 20% Bleach 3.78 2.78099 4.84 0.17144 15 15 Pooled variance 1.47622 Disinfectant Mean Variance n USE SALT (a) Are you willing to assume that the underlying variances are equal? O Yes, the ratio of the larger variance to the smaller variance is less than three. O Yes, the ratio of the larger variance to the smaller variance is more than three. O No, the ratio of the larger variance to the smaller variance is less than three. O No, the ratio of the larger variance to the smaller variance is more than three. O 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 μ₁ for 95% ethanol disinfectant and μ₂ for 20% bleach disinfectant. Use a = 0.05.) State the null and alternative hypotheses. O Ho: (M₁ M₂) = 0 versus H₂: (M₁ - H₂) > O O Ho: (M₁M₂) = 0 versus H₂: (M₁ - 1₂) = 0 # O H₁: (M₁M₂) = 0 versus H₂: (μ₁ −μ₂) #0 O Ho: (M₁M₂) < 0 versus H₂: (μ₁ −µ₂) > 0 O Ho: (M₁ M₂) = 0 versus H₂: (M₁ M₂) < 0 State the test statistic. (Round your answer to three decimal places.) t =
State the p-value.
O p-value < 0.010
O 0.010 < p-value < 0.020
O 0.020 < p-value < 0.050
O 0.050 < p-value < 0.100
O 0.100 < p-value < 0.200
O p-value > 0.200
State the conclusion.
O Ho is not rejected. There is insufficient evidence to conclude that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants used.
O Ho is rejected. There is insufficient evidence to conclude that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants used.
O Ho is rejected. There is sufficient evidence to conclude that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants used.
O Ho is not rejected. There is sufficient evidence to conclude that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants used.
Transcribed Image Text:State the p-value. O p-value < 0.010 O 0.010 < p-value < 0.020 O 0.020 < p-value < 0.050 O 0.050 < p-value < 0.100 O 0.100 < p-value < 0.200 O p-value > 0.200 State the conclusion. O Ho is not rejected. There is insufficient evidence to conclude that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants used. O Ho is rejected. There is insufficient evidence to conclude that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants used. O Ho is rejected. There is sufficient evidence to conclude that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants used. O Ho is not rejected. There is sufficient evidence to conclude that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants used.
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