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.

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Math Probability and Statistics II Problem
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The attached file is the problem. The problem is Hypothesis testing with z test and confidence interval. Please be very detailed with the answer. I need detailed, clear explanation. ...

Solution Summary

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.

...different groups (different means of various populations > 2). The ... 1. Is there a statistically significant difference between two or more population means? ...

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

... t distribution 4. The unknown variances of the two populations are not ... 9) The t test for the mean difference between two related population assume that ...

... 1 - m 2) ยน 0 (ie, mean durations between fit and sedentary young adult males are different) where m ... 2. The variances of the populations for two groups are ...

... Both populations must be normally distributed ... 130 Pooled-Variance t Test for the Difference Between Two Means (assumes equal population variances) Data ...

... B) A test for difference between the means of two related population. 10) In testing for differences between the means of two related populations, the null ...

... that there is significant difference between undergraduate students ... t Test for Differences in Two Means. Data Hypothesized Difference 0 Level of Significance ...

... 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 ...

... Pooled-Variance t Test for the Difference Between Two Means (assumes equal population variances) Data Hypothesized Difference 0 Level of Significance 0.05 ...

... 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 ...