Question: A researcher administers a new pedagogical treatment to a sample of n = 64 fifth graders at a local school, hoping to improve TAKS reading scores. The researcher uses a one-tailed hypothesis test to evaluate the effect of this new treatment, assuming that the new teaching intervention will have a positive effect on reading scores. The known population that the sample was drawn from has a mean TAKS reading score of n=2100 and a=648. Show all of your work as appropriate. (20 pts)

a) Assuming a one-tail hypothesis test, what are the null and alternative hypotheses for this researcher? (4 pts)

b) Given the available data, would we use a z-score or a t-statistic to test our hypotheses? (4 pts)

c) If a=.05 (assuming one-tail) and the sample mean is M=2200, should we reject or retain the null hypothesis? (6 pts)

d) If a=.01 (assuming one-tail) and the sample mean is M=2200, should we reject or retain the null hypothesis? (6 pts)