A mixture of pulverized fuel ash and Portiand cement to be used for grouting should have a compressive strength of more than 1,300kN/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 =67, Let denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? H0:=1,300H0:1,300H0:1,300Ha:=1,300H0:=1,300Ha:=1,300 (b) Let X denote the sample average compressive strength for n=11 randomily selected specimens. Consider the test procedure with test statistic x itself (not standardized). What is the probability distribution of the test statistic when H0 is true? The test statistic has a binomial distribution. The test statistic has a gamma distribution. The test statistic has a normal distribution. The test statistic has an exponential distribution. If X=1,340, find the P-value. (Round your answer to four decimal places.) p. value = Should H0 be rejected using a significance level of 0.01 ? reject H0 do not reject H0 (c) What is the probability distribution of the test statistic when =1,350 and n=11 ? The test statistic has an exponential distribution. The test statistic has a normal distribution. The test statistic has a binomial distribution. The test statistic has a gamma distribution. State the mean and standard deviation (in KN/m2 ) of the test statistic. (Round your standard deviation to three decimal places.) mean KN/m2 standard deviation KN/m2 For a test with =0.01, what is the probability that the mixture will be fudged unsatisfactory when in fact =1,350 (a type II error)? (Round your answer to four decimal places.)