Develop the analysis of variance computations for the following completely randomized design. At a = 0.05, is there a significant difference between the treatment means?XjA135121113106130114130103119TreatmentB108113ⒸHO: HA MB MCHa: MAHB = MC1241031081109711310480106Uс918384101State the null and alternative hypotheses.ⒸHO: HA = HB = MCHa: MAHB MC9011811111998115101141.14 135.11 194.67O Ho: At least two of the population means are equal.Ha: At least two of the population means are different.O Ho: Not all the population means are equal.Ha: MAMB= μcHo: MA = MB = McHa: Not all the population means are equal.Find the value of the test statistic. (Round your answer to two decimal places.)Find the p-value. (Round your answer to four decimal places.)p-value =State your conclusion.O 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.Do not reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal.O Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal.

The question is about ANOVAGiven :No. observations under treatment A ( nA ) = 8No. observations…

Answered: Develop the analysis of variance…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following data are from a completely randomized design. In the following calculations, use ? = 0.05. Treatment1 Treatment2 Treatment3 62 83 70 46 71 54 53 88 60 39 70 48 xj 50 78 58 sj2 96.67 79.33 88.00 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. H0: ?1 = ?2 = ?3Ha: Not all the population means are equal.H0: ?1 = ?2 = ?3Ha: ?1 ≠ ?2 ≠ ?3 H0: At least two of the population means are equal.Ha: At least two of the population means are different.H0: ?1 ≠ ?2 ≠ ?3Ha: ?1 = ?2 = ?3H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. There is not sufficient evidence to conclude that the means of the three treatments are not equal.Reject H0. There is…
The following data are from a completely randomized design. In the following calculations, use ? = 0.05. Treatment1 Treatment2 Treatment3 62 82 68 46 71 54 53 88 61 39 63 45 xj 50 76 57 sj2 96.67 124.67 96.67 a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses: A) H0: ?1 = ?2 = ?3Ha: ?1 ≠ ?2 ≠ ?3 B) H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 C) H0: ?1 = ?2 = ?3Ha: Not all the population means are equal. D)H0: ?1 ≠ ?2 ≠ ?3Ha: ?1 = ?2 = ?3 E) H0: At least two of the population means are equal.Ha: At least two of the population means are different. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. A) Do not reject H0. There is not sufficient evidence to conclude that the means of the three treatments are…
Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard (L) users and 30 shortboard (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders (because longboards can go out in many different surfing conditions). Use a level of significance of 0.05. Longboard: 4,9,8,4,9,8,8,6,7,9,11,11,11,13,12,16,14,9,11,18,20,15,10,16,20,20,8,20,21,23 O Shortboard: 6,4,4,6,8,8,6,9,4,6,7,5,9,7,4,16,13,11,13,13,11,15,10,10,13,14,11,21,21,12 Determine the hypotheses for this test. Choose the correct answer below. O A. Ho: HL = Hs O B. Ho: HL = Hs OC. Ho: HL # Hs Ha: HL Hs O F. Ho: HL = Ps Ha: HL = Ps Ha: HL = Hs Ha: HL > Hs Find the test statistic for this test. t = (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places…
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