An experiment to compare the tension bond strength of polymer latex modified mortar (Portland cement mortar to which polymer latex emulsions have been added during mixing) to that of unmodified mortar resulted in x-bar = 18.12 kgf/cm^2 for the modified mortar (m = 40) and y-bar = 16.87 kgf/cm^2 for the unmodified mortar (n = 32). Let u_1 and u_2 be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the bond strength distributions are both normal. (see attachment)

a. Assuming the sigma_1 = 1.6 and sigma_2 = 1.4, test H0: u_1 and u_2 = 0 versus Ha: u_1 - u_2 > 0 at level 0.1.

This solution conducts a Z-test to reject or accept the null hypothesis, determines the probability of a type II, and calculates the standard deviation using a t-test.

... Do the data indicate a significant difference between the two conditions using a two-tailed test ... of a paired t-test about µ , the population mean of the ...

... claim that both samples are from populations having the ... Variance t Test for the Difference Between Two Means (assumes equal population variances) Data ...

... hypothesis that multiple population variances (corresponding ... you test the significant differences between treatment means... are comparing only two treatment means...

...two population means are equal population means are equal ... null hypothesis that the two groups come ... is no statistically significant difference between the means...

... Sample Degrees of Freedom 14 Population 2 Sample ...Two-Tail Test Lower Critical Value -2.04841 Upper ... that there is significant difference between the populations...

... the efficacies of the two drugs Ha: There is a difference between the two drugs. ... mean of efficacy of drug treatment 1 µ2: the population mean of efficacy ...

... This allows for the distance between two pairs to be ... data is continuous data where differences are interpretable ... is the same as the distance between 1000C and ...

... H0: Ha: Where is the difference between population means of hot ... is the standard deviation of sample difference. ... null hypothesis that the two means are equal if ...

... point estimate of the difference between the population mean is. ... of the standard error of the difference between the sample ... c) If a two-tailed test is used with ...