In an experiment to assess the effect of the angle of pull on the force required

Question

In an experiment to assess the effect of the angle of pull on the force required to cause separation in electrical connectors, four different angles (factor A) were used and each of a sample of five connectors (factor B) was pulled once at each angle. The data appears in the accompanying table 2 42.4 3 39.5 4 37.0 5 45.7 45.2 2 44.144.238.4 37.7 47.3 42.9 42.9 43.0 42.3 48.9 47.5 43.7 45.8 37.9 56.2 Does the data suggest that true average separation force is affected by the angle of pull? State and test the appropriate hypotheses at level 01 by first constructing an ANOVA table (SST = 387.34, SSA 56.49, SSB 245.23). (Give answers accurate to 2 decimal places and the p-values to 3 decimal places.) H: at least one is/are not zero Df MS p-value Source Angle Connector Total Conclusion O Reject the null hypothesis, there appears to be an angle of pull effect. O Reject the null hypothesis, there does not appear to be an angle of pull effect. Fail to reject the null hypothesis, there does not appear to be an angle of pull effect. O Fail to reject the null hypothesis, there appears to be an angle of pull effect.

Explanation / Answer

from above given information below is ANOVA table:

Source of Variation df SS MS F P-value angle 3.00 56.49 18.83 2.64 0.097 connector 4.00 245.23 61.31 8.59 0.002 error 12.00 85.62 7.14 Total 19.00 387.34

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