1. [0.36/1 Points] DETAILS PREVIOUS ANSWERS ASWSBE 14 13.E.013.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design Treatment Treatment Treatment A B C 32 45 34 29 44 36 29 44 36 27 47 37 33 50 32 Sample mean 30 46 35 Sample variance 6.00 6.50 4.00 (a) At the a = 0.05 level of significance, can we reject the null hypothesis that the means of the three treatments are equal? State the null and alternative hypotheses. O Ho: At least two of the population means are equal. H: At least two of the population means are different. OHO: HA * HB * HC Ho : HA = HB = HC O Ho: HA = HB = HC Ha HA * HB * HC O HO: HA = HB = HC H : Not all the population means are equal. O Ho: Not all the population means are equal. Ha HA = HB = "C Find the value of the test statistic. (Round your answer to two decimal places.) 60.91 Find the p-value. (Round your answer to three decimal places.) p-value = 0.000 State your conclusion. Reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. Reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. (b) Use Fisher's LSD procedure to test whether there is a significant difference between the means for treatments A and B, treatments A and C, and treatments B and C. Use a = 0.05. Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for each pair of treatments. XA - X B = X A - X C X B - XC Which treatment means differ significantly? (Select all that apply.) There is a significant difference between the means for treatments A and B. There is a significant difference between the means for treatments A and C. There is a significant difference between the means for treatments B and C. There are no significant differences. (c) Use Fisher's LSD procedure to develop a 95% confidence interval estimate of the difference between the means of treatments A and B. (Use XA - XB. Round your answers to two decimal places.)