The following data are from a completely randomized design. In the following calculations, use a = 0.05. Treatment Treatment Treatment 1 62 82 69 46 73 53 53 89 61 39 60 45 50 76 57 96.67 156.67...


The following data are from a completely randomized design. In the following calculations, use a = 0.05.<br>Treatment<br>Treatment<br>Treatment<br>1<br>62<br>82<br>69<br>46<br>73<br>53<br>53<br>89<br>61<br>39<br>60<br>45<br>50<br>76<br>57<br>96.67<br>156.67<br>106.67<br>(a) Use analysis of variance to test for a significant difference among the means of the three treatments.<br>State the null and alternative hypotheses.<br>O Ho: Not all the population means are equal.<br>H3: H1 = H2 = H3<br>O Ho: H1 * H2 * H3<br>Ha: H1 = H2 = Hz<br>O Ho: At least two of the population means are equal.<br>H: At least two of the population means are different.<br>O Ho: H, = H2 = H3<br>H: Not all the population means are equal.<br>O Ho: H1 = H2 = H3<br>Find the value of the test statistic. (Round your answer to two decimal places.)<br>Find the p-value. (Round your answer to three decimal places.)<br>p-value =<br>State your conclusion.<br>O Do not reject H.. There is sufficient evidence to conclude that the means of the three treatments are not equal.<br>O Do not reject H.. There is not sufficient evidence to conclude that the means of the three treatments are not equal.<br>O Reject Ho: There is not sufficient evidence to conclude that the means of the three treatments are not equal.<br>

Extracted text: The following data are from a completely randomized design. In the following calculations, use a = 0.05. Treatment Treatment Treatment 1 62 82 69 46 73 53 53 89 61 39 60 45 50 76 57 96.67 156.67 106.67 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. O Ho: Not all the population means are equal. H3: H1 = H2 = H3 O Ho: H1 * H2 * H3 Ha: H1 = H2 = Hz O Ho: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H, = H2 = H3 H: Not all the population means are equal. O Ho: H1 = H2 = H3 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. O Do not reject H.. There is sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject H.. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Reject Ho: There is not sufficient evidence to conclude that the means of the three treatments are not equal.

Jun 08, 2022
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