Researchers interested in how people process different types of information conducted a study on 200 high schoolers to see if there is a clear difference in the average reading and writing scores of high school seniors. Important Summary Information: Sample size: n = 200 Sample mean difference: d = -0.545 and standard deviation: sd = 8.887 Part 1. Calculate the standard error and provide your answer. Part 2. Calculate the test statistic and provide your answer. Part 3. Find the p - value 4. Should we reject or fail to reject the null hypothesis if our alpha is 0.05? Do the data support the hypothesis that there is a clear difference between average reading and writing scores? Make sure to clearly label each of your answers (if you are answering part 1, label it as part 1, etc.)