Need help with the last part of this questionin finding the

Need help with the last part of this question…in finding the Type 2 Error A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1300 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 denote the true average compressive strength.

(a) What are the appropriate null and alternative hypotheses?

(b) Let X denote the sample average compressive strength for n = 12 randomly selected specimens. Consider the test procedure with test statistic X itself (not standardized). If X = 1340, find the P-value. (Round your answer to four decimal places.) P-value = 0.0193 (c) What is the probability distribution of the test statistic when = 1350? State the mean and standard deviation of the test statistic. (Round your standard deviation to three decimal places.) Mean: 1350, Standard Deviation: 19.341

For a test with = 0.01, what is the probability that the mixture will be judged unsatisfactory when in fact = 1350 (a type II error)? (Round your answer to four decimal places.)

Solution