An experiment studied the efficacy of using 95% ethanol or 20% bleach as a disinfectant in removing bacterial and fungal contamination when culturing plant tissues. The experiment was repeated 15 times with each disinfectant, using eggplant as the plant tissue being cultured. Five cuttings per plant were placed on a petri dish for each disinfectant and stored at 25C for four weeks. The observation reported was the number of uncontaminated eggplant cuttings after the four-week storage. Disinfectant 95% Ethanol 20% Bleach Mean 3.74 4.80 Variance 2.78098 0.17144 15 15 Pooled variance 1.47621 (a) Are you willing to assume that the underlying variances are equal? O Yes O No (b) Using the information from part (a), are you willing to conclude that there is a significant difference in the mean numbers of uncontaminated eggplants for the two disinfectants tested? (Use , for 95% ethanol disinfectant and #2 for 20% bleach disinfectant. Use a = 0.05.) State the null and alternative hypotheses. O Ho: (H1 - H2) = 0 versus Ha: (H1 - 12) = 0 O Ho: ( M1 - 12 ) = 0 versus Ha: (H1 - H2) = 0 O HO : ( H 1 - 12 ) = 0 versus Ha : ( M1 - H2) > 0 O Ho: ( H 1 - H2) 0 O Ho: (H1 - 12) = 0 versus Ha: (1 1 - H2) 0.200 State the conclusion. 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 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 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. 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. You may need to use the appropriate appendix table or technology to answer this question.Industrial wastes and sewage dumped into our rivers and streams absorb oxygen and thereby reduce the amount of dissolved oxygen available for fish and other forms of aquatic life. One state agency requires a minimum of 5 parts per million (ppm) of dissolved oxygen in order for the oxygen content to be sufficient to support aquatic life. A pollution control inspector suspected that a river community was releasing amounts of semitreated sewage into a river. To check his theory, he drew five randomly selected specimens of river water at a location above the town, and another five below. The dissolved oxygen readings (in parts per million) are as follows. Above Town 4.8 5.1 4.9 4.9 5.2 Below Town 5.1 4.7 4.9 4.8 4.8 (a) Do the data provide sufficient evidence to indicate that the mean oxygen content below the town is less than the mean oxygen content above? Test using a = 0.05. (Use u, for the population mean for the above town location and #2 for the population mean for the below town location.) State the null and alternative hypotheses. O Ho: (H1 - H2) = 0 versus Ha: (M1 - H2) = 0 O Ho: (H1 - H2) = 0 versus Ha: (#1 - 142) = 0 O Ho: ( 1 1 - 12 ) = 0 versus Ha : ( 1 1 - H2) = 0 O Ho: (M1 - 12 ) = 0 versus Ha : (H1 - H2) 0 State the test statistic. (Round your answer to three decimal places.) t = State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t> t c State the conclusion. O Ho is not rejected. There is sufficient evidence to indicate that the mean content of oxygen below town is less than the mean content above town. O Ho is rejected. There is insufficient evidence to indicate that the mean content of oxygen below town is less than the mean content above town. O Ho is rejected. There is sufficient evidence to indicate that the mean content of oxygen below town is less than the mean content above town. O Ho is not rejected. There is insufficient evidence to indicate that the mean content of oxygen below town is less than the mean content above town. (b) Suppose you prefer estimation as a method of inference. Estimate the difference in the mean dissolved oxygen contents (in ppm) for locations above and below the town. Use a 95% confidence interval. (Use , - /2. Round your answers to three decimal places.) ppm to ppm You may need to use the appropriate appendix table or technology to answer this question.A paired-difference experiment was conducted using n = 10 pairs of observations. (a) Test the null hypothesis HI]: [#1 p2) = 0 against H3: ([41 #2] = D for a = 0.05, E = 0.3, and 55.2 = 0.12. State the test statistic. {Round your answer to three decimal places.) I\" = Give the approximate pvalue for the test. C) pvalue 0.200 State the conclusion. C) H0 is not rejected. There is insufficient evidence to indicate a difference in the two population means. C) H0 is rejected. There is insufficient evidence to indicate a difference in the two population means. C) H0 is rejected. There is sufcient evidence to indicate a difference in the two population means. C) H0 is not rejected. There is sufficient evidence to indicate a difference in the two population means. (b) Find a 95% condence interval for (#1 [1:23. (Round your answers to three decimal places.) to (c) HowI many pairs of observations do you need if you want to estimate [pl #2] correct to within 0.1 with probability equal to 0.95? (Round your answer up to the nearest whole number.) pairs of observations You may need to use the appropriate appendix table or technology to answer this