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 3.74 4.80 Variance 2.78091 15 0.17148 15 Pooled variance 1.47620 A 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. ONo, 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 egpplants for the two disinfectants tested? (Use il, for 95% ethanol disinfectant and a for 20% bleach disinfectant. Use a 0.05.) State the null and alternative hypotheses. O Hoi (H - H2) < o versus H H - H2) >0 O Ho: (H - H2) + o versus (, - Ha) -0 O Hoi (H - Hạ) - 0 versus , - Hg) 0 Hot (H, - Hg) -0 versus H (, - H2) > 0 O Hoi (H, - H2) - o versus H - H2) <0 State the test statistic. (Round your answer to three decimal places.) State the prvalue. O p-value < 0.010 O 0.010 < prvalue < 0.020 O 0.020 < prvalue < 0.050 O 0.050 < pvalue 0.100 O 0.100 < prvalue < 0.200 O prvalue> 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 twe disinfectants used. O H, is not rejected. There is sufficient evidence to conclude that there is a significant difference in the mean numbers of uncentaminated 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 egoplants for the two disinfectants used.

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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         | 3.74        | 4.80       |
| Variance     | 2.78091     | 0.17148    |
| n            | 15          | 15         |
| **Pooled variance** | **1.47620** |

**Questions:**

(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.
- (X) 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 μ₁ for 95% ethanol disinfectant and μ₂ for 20% bleach disinfectant. Use α = 0.05.)

State the null and alternative hypotheses:

- ( ) H₀: (μ₁ - μ₂) = 0 versus Hₐ: (μ₁ - μ₂) < 0
- ( ) H₀: (μ₁ - μ₂) = 0 versus Hₐ: (μ₁ - μ₂) > 0
- (X) H₀: (μ₁ - μ₂) = 0 versus Hₐ: (μ₁ - μ₂) ≠ 0
- ( ) H₀: (μ₁ - μ₂) > 0 versus Hₐ: (μ₁ - μ₂) ≤ 0
- ( ) H₀: (μ₁
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 | 3.74 | 4.80 | | Variance | 2.78091 | 0.17148 | | n | 15 | 15 | | **Pooled variance** | **1.47620** | **Questions:** (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. - (X) 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 μ₁ for 95% ethanol disinfectant and μ₂ for 20% bleach disinfectant. Use α = 0.05.) State the null and alternative hypotheses: - ( ) H₀: (μ₁ - μ₂) = 0 versus Hₐ: (μ₁ - μ₂) < 0 - ( ) H₀: (μ₁ - μ₂) = 0 versus Hₐ: (μ₁ - μ₂) > 0 - (X) H₀: (μ₁ - μ₂) = 0 versus Hₐ: (μ₁ - μ₂) ≠ 0 - ( ) H₀: (μ₁ - μ₂) > 0 versus Hₐ: (μ₁ - μ₂) ≤ 0 - ( ) H₀: (μ₁
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