For this question, am I just using the population mean test statistic?Z = (xbar- mu) / (sigma/sqrt(n))Assume our significance level is alpha = 0.05 and we also have to calculate our p-value. Also, is this considered a one-tail or two-tail test?

Problem #1 A group of pedagogy (teaching) experts examined the vocabulary scores of 200 children at a local school who were taught using a novel "reading and learning" style of teaching. A common test was given to all students who learned this new methodology. The same test was given to 200 randomly selected students who did not use this new methodology. The children who used the new techniques had a mean score of 15.6 with an SD of 6.72. The students using the traditional (older) method had a standardized score of 14.4. Can the experts claim that the new technique of teaching vocaculabry is different (in terms of statistical significance) from the traditional technique?X - Mo Z = Assignment 7 o/vn P LZ - ) = 1 ) n = 200 a = 0.05 X = 15.4 sd = 4.72 new technique M = 14. 4 $ & traditional method Ho: 1 = 14.4 = 0.05 Ha: M $ 14.4 X - Mo 115.4- 14:4 1. 2 Z = 60. 72 / V200 0. 475 R code - 1 = phorm ( 2.524 ) = 0. 0 05768474 2 0.006 P- value = 2. 0.004 = 0.012 check : compare D with a - 0.012 - 0.05 : . we reject the Ho ( null hypothesis ) and can assume at the 0.05 level that the new technique of teaching vocabulary is statistically significant diff. from the traditional technique