The following data from a random sample on tensile strengths of liner specimens are reported:NoWithfusionfusion24003027270032003220310026552822251131252999291035552991301029023020290029993400Do the two methods result in different tensile strengths? Test at 0.01 level of significance

There are two independent samples which are No and With. We have to test whether the two methods…

Answered: The following data from a random sample…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 × = 18.17 kgf/cm² for the modified mortar 42 be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the bond strength distributions are both normal. = 0 versus H₂: M₁ M₂ > 0 at level 0.01. (m = 42) and y = 16.87 kgf/cm² for the unmodified mortar (n = 30). Let and M1 (a) Assuming that 0₁ = 1.6 and 0₂ 1.3, test Ho: M1 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.) 42 Z = P-value = State the conclusion in the problem context. Reject Ho. 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 tension bond strengths exceeds…
USE THE TABLE GIVEN To test HO: u=50 versus H1: u less than 50, a random sample size of n=25 is obtained from a population that is known to be normally distributed. If xbar =47.9 and s = 14.1, compute the test statistic. test statistic =-0.745 If the researcher decides to test this hypothesis at the a=0.1 level of significance, determine the critical value(s). Use the table given.
5
An agent from a property rental company would like to predict the monthly rental for condominium based on the size as defined in square metres. A sample of 25 condominiums was selected. Data is generated and the summary of outputs are shown in Table 1 and Figure 1. ANOVA df SS MS F 59.914 Significance F 7.52E-08 Regression Residual 1 2268776.545 2268777 23 870949.4547 37867.37 Total 24 3139726 Standard Error 161.00427 t Stat P-value Coefficients 177.1208 1.0651 1.100 Intercept Size 0.282 0.13760 7.740 7.52E-08 Table 1 Size Residual Plot 500 400 300 200 100 0 -100 -200 ◆ 1000 -300 -400 -500 Residuals 500 Size Figure 1 +500 2000 2500
You work for an insurance company and are studying the relationship between types of crashes and the vehicles involved. As part of your study, you randomly select 3550 vehicle crashes and organize the resulting data as shown in the contigency table. At a = 0.01 Type of crash Car Pickup Sport utility Single-vehicle 807 397 344 Multiple-vehicle 1137 465 400 Calculate the degrees of freedom. d.f = Find the critical value. What is the correct rejection region? Calculate the test statistic x2 =
A researcher wanted to determine if using an octane booster would increase gasoline mileage. A random sample of 7 cars was selected and were driven for two weeks without the booster and two weeks with the booster. Test Ho:Ho =0 against H1:Hp<0 at a = .05. The critical value for this test is: O 1.943 -2.447 -2.635 -1.943
A manufacturer claims that the thickness of the metal plates it produces is 2.0mm. A quality control specialist regularly checks this claim. On one production run, he took a random sample of n = 8 pieces of metal plates and measured their thickness. He obtained: 2.2 2.0 1.9 1.8 2.1 2.5 2.3 2.3 Test the hypothesis of quality control specialists that HO: μ = 2.0 at 0.01 level of significance. Use 6 steps method.Show all tabulated computations.
In an experiment to compare the tensile strengths of I = 5 different types of copper wire, J = 4 samples of each type were used. The between-samples and within-samples estimates of o² were computed as MSTR = 2676.3 and MSE = 1107.2, respectively. Use the F test at level 0.05 to test Ho: M₁ = ₂ = ... = μ5 versus H₂: at least two μ's are unequal. You can use the Distribution Calculators page in SALT to find critical values and/or p-values to answer parts of this question. Calculate the test statistic. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? O P-value> 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.001 < P-value < 0.010 O P-value < 0.001 State the conclusion in the problem context. O Reject Ho. The data indicates there is not a difference in the mean tensile strengths. O Fail to reject Ho. The data indicates there is not a difference in the mean tensile strengths. O Fail to reject Ho. The data indicates a difference in…
A group of 15 first graders were asked to complete a manual dexterity test. Six students completed it in more than 7 minutes while eight students completed it in less than 7 minutes. At αα = 0.05, test the claim that the median time for all first graders is 7 minutes. A. What is the test statistic? B. What is the critical value?
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1,300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with o = 69. Let u denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? O Ho: H > 1,300 H: u = 1,300 Ο H,: μ= 1,300 H: u 1,300 (b) Let X denote the sample average compressive strength for n = 15 randomly selected specimens. Consider the test procedure with test statistic X itself (not standardized). What is the probability distribution of the test statistic when Ho is true? O The test statistic has a binomial distribution. O The test statistic has a gamma distribution. The test statistic has a normal distribution. O The test statistic has an exponential distribution. If X = 1,340, find the…

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