Anthony knows that the average number of memories recalled by people in the general population is 40.Anthony believes a memory training program would improve the number of memories people can recall.To test this,he asks a random sample of 36people to partake in his memory training program for a month, and then asks how many memories each person can recall.His sample remembers 40.8memories,on average,with a standard deviation of 3.Does the memory training program significantly improve the number of memories people can recall?alpha = 0.05.

a)Statethe null and alternative hypotheses in words.

b) Locate the critical value that defines the critical region.

c) Calculate your statistic.

d) Make a decision with respect to the null.

e) concluding statement in everyday language.

f)If you rejected the null, don't forget to calculate the effect size.If you failed to reject the null,you can skip this question.