An experiment to compare the tension bond strength of polymer latex modified mortar to that of unmodified mortar was carried out. The observations from modified mortar recorded mean of 18.12kgf/cm2 and SD of 1.8 with the sample of size 22. It is known that average strength of unmodified mortar is 17.3kgf/cm2. Assume that the bond strength distribution of the modified mortar is normal. a) It is suspected that modified mortar has higher mean bond strength than the unmodified mortar. Perform statistical test to see if mean of bond strength for modified mortar has higher mean bond strength than the unmodified mortar. Report p-value. I. the p-value is ≥.15
II. the p-value is less than.15 and ≥.07
III. the p-value is less than. 07 and ≥.04
IV. the p-value is less than.04 and ≥.02
V. the p-value is less than.02
b) State your conclusion based on p-value from part (a). Can you reject the null hypothesis with significance level of 5%? Is this an evidence that modified mortar has higher average strength? I. Can not reject H 0. Study is inconclusive. II. Reject H 0. There is statistical evidence that μ>17.3
III. Reject H 0. There is statistical evidence that μ<17.3
IV. Reject H 0. There is statistical evidence that μ=17.3
V. Can not reject H 0. There is statistical evidence that
μ=17.3
