A researcher would like to test the effectiveness of using mnemonics to improve the memory of a sample of n = 36 Grade 9 students. Assume that the mean score on a standardized memory test of all the Grade 9 students in Jersey Secondary School last year is ? = 78% with ? = 10. The sample, after learning how to use the mnemonic for 10 weeks obtained a mean of M = 84%. Conduct a hypothesis test, by calculating the z-score, at ? = .05, for a two-tailed test. Show all the five steps.