Answer Happy

11. [-/10 Points] DETAILS ASWSBE14 13.TB.2.007. You may need to use the appropriate technology to answer this question. Random samples were selected from three populations. The data obtained are shown below. Please note that the sample sizes are not equal. Treatment 1 Treatment 2 Treatment 3 39 42 27 32 41 30 35 34 29 38 37 36 (a) Compute the overall mean. (b) At a = 0.01 using the critical value and p-value approaches, test to see if there is a significant difference among the treatment means. State the null and alternative hypotheses. O Ho: At least two of the means are different. Ha: My = uz = M3 O Ho: Hi * uz * M3 Ha: At least two of the means are different. O Ho: Hy * U23 Uz Ha: My = uz = H3 O Ho: Hy = uz = 43 Ha At least two of the means are different. Ο Ηρ: μ= μ. = μη

O Ho: M1 + H2 * 43 Ha: Mly = uz = 43 O Ho: M1 = Hl2 = uz Ha: At least two of the means are different. Оно: 4 = 2 = из Hai My # uz M3 Find the value of the test statistic. (Round your answer to two decimal places.) Find the critical value corresponding to a level a = 0.01 test to see if there is a significant difference among the treatment means. (Round your answer to two decimal places.) What conclusions can we draw? We should not reject H, and therefore we can conclude there is a significant difference among the mean response of the three treatments. O We should reject H, and therefore we cannot conclude there is a significant difference among the mean response of the three treatments. We should not reject Ho and therefore we cannot conclude there is a significant difference among the mean response of the three treatments. o We should reject H, and therefore we can conclude there is a significant difference among the mean response of the three treatments. Find the p-value and summarize the conclusions that can be drawn from the p-value. (Round your answer to three decimal places.) -Select--- the significance level we --Select-- v reject He and conclude that there --Select--- v sufficient evidence in the data to suggest a significant The p-value = Since this is difference among the treatment means.