1. Your statistics teacher hires you as an assistant to test the effectiveness of a new food supplement intended to improve memory. You give a first group the supplement for a period of 6 weeks and then you test the memory of the members of the group. in a second group, you give a placebo for a period of 6 weeks and then you test memory. Does this new supplement improve memory?

Group that received the supplement

X:65725545567577636567

Groupe that received the placebo

X:68796956528490758956

a) Formulate, in symbols, the null hypothesis of this research question.

b) Formulate, in symbols, the alternative hypothesis for this research question.

c) Another research assistant hired by your professor had already started reviewing the results. She tells you that the variance of the first group is 97 and the standard deviation of the second is 14. Use the appropriate test to determine if the new supplement improves memory. Present all of your calculations.

d) What is your decision about the results?

e) Present your results as a scientist.

f) f) Interpret your results? What would you say to your teacher?

g) After completing your statistical analysis, you show the results to your teacher. This one announces with discouragement that you forgot to include some results in your calculations. In fact, the second group consisted of 13 participants and not 10. Could this affect your results? It also asks you to start your analysis again. Are you going to use the same test as in c)? Explain your answer.