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? ...

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

... c.If we are testing for the difference between two population means and assume that the two populations have equal and unknown standard deviations, the ...

... randomly takes replicate measurements from a population he/she ... that the measures of which the two samples are ... on the basis of a difference between sample means...

... can claim that the difference of population proportion of defectives for the two methods are ... is a statistically significant difference between the existing ...

... 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 ...

... 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 ...

...mean, testing the difference between two means from an ... independent sample" and testing mean differences from a ... samples come from two independent populations...