Hello, I am having trouble with section (c) and the last question for this problem 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 thismixture is normally distributed with o = 65. Let μ denote the true average compressive strength.(a) What are the appropriate null and alternative hypotheses?O Ho: μ> 1,300H₂: μ = 1,300|Ο Hg: μ < 1,300H₂: μ = 1,300OH = 1,300H₂:μ 1,300Ho: μ = 1,300Ha: μ< 1,300Ho: μ = 1,300Ha: μ> 1,300(b) Let X denote the sample average compressive strength for n = 13 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 gamma distribution.O The test statistic has an exponential distribution.O The test statistic has a normal distribution.O The test statistic has a binomial distribution.If X = 1,340, find the P-value. (Round your answer to four decimal places.)P-value = 0.0132Should Ho be rejected using a significance level of 0.01?O reject HoO do not reject Ho(c) What is the probability distribution of the test statistic when μ = 1,350 and n = 13?O The test statistic has a normal distribution.O The test statistic has a binomial distribution.O The test statistic has a gamma distribution.O The test statistic has an exponential distribution.State the mean and standard deviation (in KN/m2) of the test statistic. (Round your standard deviation to three decimal places.)KN/m²mean13502.7737standard deviationX KN/m²For a test with a = 0.01, what is the probability that the mixture will be judged unsatisfactory when in fact μ = 1,350 (a type II error)? (Round your answer to four decimal places.)0.9973 XYou may need to use the appropriate table in the Appendix of Tables to answer this question.

Answered: Hello, I am having trouble with section…

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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