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.

... proportion 5. Confidence interval for a population proportion 6. Confidence interval for the difference between two population means 7. Hypothesis test for the ...

... be used to compare the population means, even if both populations are normally ... The null hypothesis for the difference between two population variances is ...

... a paired t-test for the mean difference between two populations. ... M assed Distributed Difference 6 5 1 4 ... test the hypothesis that the population of differences...

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

... which (if either) of the two population means is larger and by how much? e. Construct a 95% confidence interval for the difference between the mean selling ...

... these two samples came from the sample or from two different populations? ... there is evidence for a significant difference between the two population means. ...

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

... 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 ...

... estimate of the difference between the two population means? 3. Consider the following data for 2 independent random samples taken from two normal populations. ...