An experiment to compare the tenslon bond strength of polymer latex modified mortar (Portland cement mortar to which polymer latex emulsions have been added duringmixing) to that of unmodified mortar resulted in x=10.16 kol/cm for the modified mortar (m = 42) and y= 16.87 kgf/cm for the unmodified mortar (n= 31). Let , andHa be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the bond strength distributions are both normal.(0) Assuming that o, = 1.6 and a, 13, test H -,- o versus H >0 at level 0.01.Calculate the test statistic and determine the P value. (Round your test statistic to two decimal places and your P-value to four decimal places.)2=1377Pvalue=0 0001State the conclusion in the problem context.Reject H The data suggests that the difference in average tension bond strengths exceeds d.O Fail to reject H The data does not suggest that the difference in average tension bond strengths exceeds from 0.O Reject H The data does not suggest that the difference in average tension bond strengths Exceeds 0.O Fall to reject H The data suggests that the difference in average tension bond strengths exceeds 0.(b) Compute the probability of a type Il error for the test of part (a) when j- 1. (Round your answer to four decimal places.)02628(c) Suppose the investigator decided to use a level 0.05 test and wished 0.10 when 1. ma 42, what value of n is necessary? (Round your angwerup to the nearest whole number.)(d) How would the analysis and conclusion of part (a) change ifo, and o, were unknown but , = 10 and s, 1.37O since n 31 is a large sample, it would be more appropriate to use the t procedure. The appropriate conclusion would follow.O Since n31 is not a large sample, It would no longer be appropriate to use the large sample test. A small sample t procedure should be used, and theappropriate conclusion would follow.O sincen31 is a large sample, It would no longer be appropriate to use the large sample test. Any other test can be used, and the conclusions would stay thesameO Since n=31 is not a large sample, it still be appropriate to use the large sample test. The analysis and conclusions would stay the same.

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An experiment to compare the tenslon bond strength of polymer latex modified mortar (Portland cement mortar to which polymer latex emulsions have been added during mixing) to that of unmadified mortar resulted in x= 10.16 kof/cm for the modified mortar (m= 42) and y= 16.87 kof/cm? for the unmodified mortar (n= 31). Let , and Ha be the true average tension bond strengths for the modified and unmodified mortars, respoectively, Assume that the bond strength distributions are both normal. (a) Assuming that o, = 1.6 and a, 13, test H -- o versus H >0 at level 0.01. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Pvalue 0 0001 State the conclusion in the problem context. Reject Ha The data suggests that the difference in average tension bond strengths exceeds 0. O Fail to reject H The data does not suggest that the difference in average tension bond strengths exceeds from 0. O Reject H The data does not suggest that the difference in average tension bond strengths Exceeds 0. O Fall to reject Ho The data suggests that the difference in average tension bond strengths exceeds 0 (b) Compute the probability of a type Il error for the test of part (a) when - 1. (Round your answer to four decimal places.) 02628 (c) Suppose the investigator decided to use a level 0.05 test and wished 0.10 whenP,1. I ma 42, what value of n is necessary? (Round your angwer up to the nearest whole number.) n30 (d) How would the analysis and conclusion of part (a) change ife, and o, were unknown but , 10 and s,1.37 O since n 31 is a large sample, it would be more appropriate to use the t procedure. The appropriate conclusion would follow. O Since n31 is not a large sample, it would no longer be appropriate to use the large sample test. A small sample t procedure should be used, and the appropriate .conclusion would follow. O sincen31 is a large sample, It would no longer be appropriate to use the large sample test. Any other test can be used, and the conclusions would atay the same O Since n31 is not a large sample, it still be appropriate to use the large sample test. The analysis and conclusions would stay the same.