Based on national normative data (i.e., think of this as our population data), we know that 2^nd graders score on average a 50 on a standardized test of math achievement (STMA), with a standard deviation of 20. You have randomly sampled 2^nd graders who attend Montessori schools and computed a sample mean on this random sample (more about this later).

Based on your random sample of 25 students, you determine the sample mean to be 57.

1. Conduct a hypothesis test given the alternative hypothesis was directionalgreater than (only steps 1 through 4). Draw the normal curve graph to show your results pictorially.