a. An experiment to compare the tension bond strength of polymer lates modified mortar to that of unmodified mortar resulted in the means given below: 61 (Modified mortar) = 1.6 and 62 (Unmodified mortar) = 1.4 Modified mortar Unmodified mortar Sample size 40 32 Mean 18.12 Kgf/cm2 16.87 Kgf/cm2
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- 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 = 18.19 kgf/cm? for the modified mortar (m = 42) and y = 16.85 kgf/cm? for the unmodified mortar (n = 30). Let u, and u, be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the bond strength distributions are both normal. Assuming that o, = 1.6 and o, = 1.3, test Hn: 4, - H, = 0 versus H: u, - u, > 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.) P-value = Compute the probability of a type II error for the test of part (a) when 4 - Hz = 1. (Round your answer to four decimal places.) Suppose the investigator decided to use a level 0.05 test and vwished B = 0.10 when u, - uz = 1. If m = 42, what value of n…An experiment was conducted to study the extrusion process of biodegradable packaging foam. Two of the factors considered for their effect on the unit density (mg/ml) were the die temperature (145 °C vs. 155 °C) and the die diameter (3 mm vs. 4 mm). The results are stored in [Packaging Foam 1]. Source: Data extracted from W. Y. Koh, K. M. Eskridge, and M. A. Hanna, "Supersaturated Split-Plot Designs," Journal of Quality Technology, 45, January 2013, pp. 61-72.At the 0.05 level of significance, 3mm 4mm 57.22 145 72.54 145 53.60 66.70 145 48.13 49.28 145 69.89 44.14 145 62.78 58.37 145 55.18 53.98 155 57.50 63.03 155 54.17 46.73 155 73.86 60.17 155 90.28 46.78 155 88.19 43.27 155 82.61 56.93 Die Temperature a. is there an interaction between die temperature and die diameter? b. is there an effect due to die temperature? c. is there an effect due to die diameter? d. Plot the mean unit density for each die temperature for each die diameter. e. What can you conclude about the effect of die…A body of mass M1 has 1/4 times the linear momemtum of M2 if M2 has three times the mass of M1, what the relationship between V1 and V2 ? Select one: O a. V2 = (1/12) * V1 O b. V1 = (3/4) * V2 O . V1 = (4/3) * V2 O d. V1 = 12 * M2 %3D e. V2 = (4/3) * V1
- 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 = 18.13 kgf/cm? for the modified mortar (m = 42) and y = 16.85 kgf/cm2 for the unmodified mortar (n = 32). Let u, and u, be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the bond strength distributions are both normal. (a) Assuming that o, = 1.6 and o, = 1.3, test Ho: 4, - H, = 0 versus H: u, - µ, > 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.) z = 3.80 P-value = 0.0001 State the conclusion in the problem context. O Fail to reject H,. The data suggests that the difference in average tension bond strengths exceeds 0. O Fail to reject Ho: The data does not suggest that the difference in average…2.5. A sample of 15 g carbonated salt with density of 2650 kg/m3 is poured into a liter of water to form a suspension. The prepared suspensionwas used to fill up an Andreasen Pipette vessel to the 20 cm mark. Suspension samplesweretaken at:2,8, 16,32, 60,120, 180, 240, 360, 480, 600, and 1440 min. The weight concentrations on10 mL of the every extracted samplewere:0.1465,0.0967,0.0883, 0.0632, 0.0386,0.0294, 0.0178,0.0104, 0.0073,0.0051,0.0030, and 0.0008 g. If every extracted sample drops the height level inthe vessel 0.5 cm, evaluate the median size of the carbonated salt particles.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 = 18.14 kgf/cm2 for the modified mortar (m 42) and y = 16.89 kgf/cm2 for the unmodified mortar (n 30). Let and be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the %D bond strength distributions are both normal. (a) Assuming that = 1.6 and o, 1.3, test Ho: Hy-H2 O versus H: µ, - µ, > 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.) Z = P-value = State the conclusion in the problem context. Fail to reject Ho. The data does not suggest that the difference in average tension bond strengths exceeds from 0. o Fail to reject Ho. The data suggests that the difference in average tension bond strengths exceeds…
- An engineer wants to compare the tensile strengths of steel bars that are produced using a conventional method and an experimental method. (The tensile strength of a metal is a measure of its ability to resist tearing when pulled lengthwise.) To do so, the engineer randomly selectoA child with terrible taste in candy likes to mix his MnMs and Skittles into the same bag. His bag of mixed candy contains: 8 blue MnMs 14 red MnMs 5 yellow MNMS 2 blue Skittles 7 red Skittles 13 yellow Skittles 9 green Skittles Match each of the below outcomes with its probability. Assume the child is randomly selecting candies, and start each calculation with a "fresh" bag as described above. What is the probability that the child will select:The size of leaves taken from bramble bushes were measured to see if there is adifference between the size of the leaves growing in full sunlight and those growing inthe shade. Test the hypothesis using 0.05 level of significance.Width Of Leaf / Cm Sunlight6.0 4.8 5.1 5.5 4.1 5.3 4.5 5.1Shade 6.5 5.5 6.3 7.2 6.8 5.5 5.9 5.5 is this a wilcoxon test or mann whitney test ? and how do i do this question in hand calculation method. attached ceritical table for the two tests
- 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 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 , and Ha 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=1377 Pvalue=0 0001 State 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…A crayon manufacturer is comparing the effects of two kinds of yellow dye on the brittleness of crayons. Dye B is more expensive than dye A, but it is thought that it might produce a stronger crayon. Four crayons are tested with each kind of dye, and the impact strength (in joules) is measured for each. The results are as follows: Dye A: 1.0 2.0 1.2 3.0 Dye B: 3.0 3.2 2.6 3.4 a) Can you conclude that the mean strength of crayons made with dye B is greater than that of crayons made with dye A? b) Can you conclude that the mean strength of crayons made with dye B exceeds that of crayons made with dye A by more than 1 J?a. An experiment to compare the tension bond strength of polymer lates modified mortar to that of unmodified mortar resulted in the means given below: 61 (Modified mortar) = 1.6 and 62 (Unmodified mortar) = 1.4 Modified mortar Mean 18.12 kgf/cm² 16.87 Kgf/cm2 Unmodified mortar Test Ho= μl μ2 = 0; versus Ha= μ1- µ2> 0 at level of significance of 0.01. Sample size 40 32
