Question

please fill the anova table

engths 4, 6, 8, 10, and 12 in 10: 348.7 452.9 461.4 433.1 410.6 384.2 362.6 Hai all five μ/s are unequal of 30 11428642

Answer 1

Answer Date: 13/04/2019 To test the hypothesis is that there is a difference in mean axial stiffness among five different plate lengths at 5% level of significance. The null and alternative hypothesis is, H: at least one H,is unegual The F-test statistics is, By using Excel software, find F-test statistics with the help of following steps: 1) Import the data. 2) Choose ANOVA: Single Factor from Data Analysis in Data menu 3) Choose Input Range and Column in Groups by. 4) Choose Output Range. 5) Click Ok.

ANOVA df Source of Variation Between Groups Within Groups Total P-value Fcrit SS 42517.24 34279.89 76797.13 MS 4 10629.31 9.302226 5.18E-05 4.017877 0 1142.663 34 From the Excel output, the F-test statistics is 9.3022 The p-value for this test is, From the Excel output, thep value for this test is 0.0001 Decisiorn The conclusion is that p-value in this context is less than 0.05 which is 0.0001, so the null hypothesis is rejected at 5% level of significance. There is sufficient evidence to indicate that there is a difference in mean axial stiffness among five different plate lengths. The result is statistically significant.