You may need to use the appropriate technology to answer this question. The following data are from a completely randomi

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You May Need To Use The Appropriate Technology To Answer This Question The Following Data Are From A Completely Randomi 1 (58.01 KiB) Viewed 88 times

You May Need To Use The Appropriate Technology To Answer This Question The Following Data Are From A Completely Randomi 2 (60.16 KiB) Viewed 88 times

You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. Treatment A Treatment B Treatment с 31 45 32 29 42 37 29 43 35 26 46 36 35 49 40 Sample mean 30 45 36 Sample variance 11.00 7.50 8.50 (a) At the a = 0.05 level of significance, can we reject the null hypothesis that the means of the three treatments are e State the null and alternative hypotheses. O Ho: Not all the population means are equal. HHAHg = "c 10 Hoi HA-Hg = HC H₂H + H3 + HC O Hoi At least two of the population means are equal. H: At least two of the population means are different. Ho: MA Mg MC He: Not all the population means are equal. Оно шд * Ив* Вс HHAH₂Hc Find the value of the test statistic. (Round your answer to two decimal places.) 31.67 Find the p-value. (Round your answer to three decimal places.) p-value 0.000
Find the p-value. (Round your answer to three decimal places.) p-value = 0.000 State your conclusion. Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. Reject Ho. There is not 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. O Do not reject Ho. There is not 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 sign icant difference between the means for treatments A and B, tre Find the value of LSD. (Round your answer to two decimal places.) LSD = 3.37 X Find the pairwise absolute difference between sample means for each pair of treatments. FA - Xp) 15 A-X *-* = 6 19 Which treatment means differ significantly? (Select all that apply.) There is a significant difference between the means for treatments A and B. There 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 treatmer 11.03 X to 10.37 X