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.

... from both offices are equal, construct and interpret a 95% confidence interval estimate of the difference between the population means in the two offices. ...

... differ- methods, samples are ence between the two sample means... If there is a difference between the carefully selected and population means, then we ...

... claim that there is no difference between the mean... Test for Differences in Two Means (assumes equal population variances) Data Hypothesized Difference 0 Level ...

... to determine if there is any difference between the two... Assume that the two populations of lifetimes are ... distributed and that the population variances are equal ...

... there is no treatment effect; that is, how much difference is expected ... error indicates the standard amount of error (distance) between the two sample means...

... differ- methods, samples are ence between the two sample means... If there is a difference between the carefully selected and population means, then we ...

... the population standard deviations for the lifetimes of these two types of appliances could be the same. This is a case of difference between two means. ...

... Since there was no significant difference between any of the tests for all ... In the second simulation we analyze two normal populations, population 1 with ...

... Details Pooled-Variance t Test for the Difference Between Two Means (assumes equal population variances) Data Hypothesized Difference 0 Level of Significance ...

... (a) Explain the difference between a left ... (b) When would we choose a two-sided test? ... parameter (simply termed "parameter") is for the whole population, and as ...