1. Consider a study comparing the effectiveness of two different teaching methods (Method A and Method B) on students' exam scores. The researchers collected data from two independent samples of students taught using Method A and Method B, respectively. State the null and alternative hypotheses (both in words and using notations) for comparing the mean exam scores of students taught using Method A and Method B. 2. Using SPSS software, input the exam scores data provided below and perform the two-sample t-test. Method A Method B 75 80 85 78 90 82 80 79 88 85 82 81 78 83 86 87 92 84 88 80 a. Conduct the two-sample t-test using SPSS with a significance level of 0.05. Interpret the output and determine whether there is a significant difference in the mean exam scores between Method A and Method B. b. Interpret the p-value obtained in the two-sample t-test. What conclusions can you draw regarding the effectiveness of Method A compared to Method B? c. Provide screenshots or output files displaying the sample means and standard deviations for Method A and Method B as obtained from SPSS. 2