explain in detail
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 specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with o = 61. Let / denote the true average compressive strength.(b) Let} denote the sample average compressive strength for n : 11 randomly selected specimens. Consider the test procedure with test statistic Yitself (not standardized). What is the probability distribution of the test statistic when H0 is true? The test statistic has a normal distribution. 0 The test statistic has an exponential distribution. 0 The test statistic has a binomial distribution. 0 The test statistic has a gamma distribution. J If )7 = 1,340, find the Pivalue. (Round your answer to four decimal places.) Should HCI be rejected using a significance level of 0.01? O reject H0 do not reject H0 V (c) What is the probability distribution of the test statistic when p = 1,350 and n = 11? O The test statistic has a gamma distribution. 0 The test statistic has an exponential distribution. 0 The test statistic has a binomial distribution. The test statistic has a normal distribution. I State the mean and standard deviation (in KN/mz) of the test statistic. (Round your standard deviation to three decimal places.) m... Emmi standard deviation E KN/ml For a test with (1 : 0.01, what is the probability that the mixture will be judged unsatisfactory when in fact it : 1,350 (a type [I error)? (Round your answer to four decimal places.) :I (b) Suppose braking distance for the new system is normally distributed with a : 11. Let )7 denote the sample average braking distance for a random sample of 36 observations. which values of :( are more contradictory to H0 than 11.7.2? O Q 2 117.2 2 s 117.2 'I What is the Favalue in this case? (Round your answer to four decimal places.) : What conclusion is appropriate if a : 0.10? The new design does have a mean breaking distance less than 120 feet at 40 mph. 0 The new design does not have a mean breaking distance less than 120 feet at 40 mph. I (c) What is the probability that the new design is not implemented when its true average braking distance is actually 115 ft and the test from part (b) is used? (Round your answer to four decimal places.) : A new design for the braking system on a certain type of car has been proposed. For the current system, the true average braking distance at 40 mph under specified conditions is known to be 120 ft. It is proposed that the new design be implemented only if sample data strongly indicates a reduction in true average braking distance for the new design
