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 67. Let a denote the true average compressive strength (a) What are the appropriate null and alternative hypotheses? OH>1.300 O Ho-1,300 1,300 OM 1,300 M1,300 OHg 1,300 Ma-1,300 1,300 1,300 (b) Let X denote the sample average compressive strength for in 11 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? The test statistic has a binomial distribution. The test statistic has a normal distribution. The test statistic has a gamma distribution. O The test statistic has an exponential distribution. -1,340, find the P-value. (Round your answer to four decimal places.) P-value 0.0185 x Should M, be rejected using a significance level of 0.017 Oreje do not reject H (c) What is the probability distribution of the test statistic when 1,350 and 117 The test statistic has a normal distribution O The test statistic has a garuma dutribution The test statistic has a binomial distribution The test statistic has an exponential distribution Slate the mean and standard deviation (in KN/m) of the test statistic. (Round your standard deviation to three decimal places.) mean standard deviation 1300 19.137 xkN/m For a test with 0.01, what is the probability that the mixture will be judged unsatisfactory when in fact 1,350 (a type 11 error)? (Round your answer to four decimal places)