webassign.net C 5. [3/8 Points] DETAILS PREVIOUS ANSWERS DEVORESTAT9 8.1.012.MI. 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/m. The mixture will not be used unless experimental evidence indicates conclusively that the strength specifica or specimens of this mixture is normally distributed with a = 63. Let , denote the true average compressive strength. (a) What are the appropriate null and alternative hypotheses? HO: H = 1,300 Ha: H > 1,300 40: H 1,300 Ha: H = 1,300 (b) Let X denote the sample average compressive strength for n = 13 randomly ns. 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 gamma distribution. The test statistic has a normal distribution. The test statistic has a binomial 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 Ho be rejected using a significance level of 0.01? reject Ho do not reject Ho (c) What is the probability distribution of the test statistic when , = 1,350 and n = 13? The test statistic has an exponential distribution. The test statistic has a binomial distribution. The test statistic has a gamma distribution. . The test statistic has a normal distribution. State the mean and standard deviation (in KN/m?) of the test statistic. (Round your standard deviation to three decimal places.) mean KN/m standard deviation N/m For a test with a = 0.01, what is the probability that the mixture will be judged unsatisfactory when in fact # = 1,350 (a type II error)? (Round your answer to four decimal places.) 9832 You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? MacBook Air esc 2 4 S O