A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compression strength of more than 1300 KN/m^2. 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 σ = 60. Let μ denote the true average compressive strength. a. What are the appropriate null and alternative hypothesis?
b. What is the probability distribution of the test statistic when μ = 1350?