6. A state testing agency claims that the average score on their standardized test is u = 75. The population standard deviation was provided as o = 3.9. You wish to perform a hypothesis test to see if the population mean is different from 75. You have gained permission and gathered sample data. The sample mean was found to be 81.2. Perform the necessary hypothesis test to determine whether or not the population mean is different from 75. State the null and alternative hypotheses in both symbols and words. Assume the population is normally distributed. Calculate and report the relevant test statistics and provide the conclusion. Use a = .05. n= 36 a. State the hypotheses (words and symbols). (5 points) move last orly To agonova orb el barry Ho: M = 75 HA: M $ 75 b. Which hypothesis has the claim? (2 points) c. Calculate the z-score. (5 points) d. Find either P or the critical value. (2 points) e. State your decision (reject or do not reject Ho) and explain how you reached that decision. (2 points) f. State your conclusion. (2 points) g. Can the state testing agency's claim be supported? Why or why not? (2 points)