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30 psychology students were selected to be part of an experiment about influence of odor on memory retention. 15 of them were subjected to a sweet-smelling odor while memorizing 50 words in a span of 3 minutes, and the other 15 were subjected to a normal scent. Below are the number of words they were able to memorize. NORMAL SCENT SWEET-SMELLING SCENT 14 32 15 31 12 28 10 21 16 23 25 24 18 30 19 35 21 32 18 31 22 30 19 29 21 28 20 32 24 33 1. State the problem 2. State the Ho and Ha 3. Identify the control group and experimental group and explain why. 4. What is the appropriate statistical test? Why? Include as well the experimental design used. 5. Provide the descriptive statistics FOR EACH GROUP including the plots (box, density, histogram), and provide an explanation 6. Conduct the test of normality and determine if there is a violation. Provide an explanation for each variable. Include the test of normality table. 7. What is the degrees of freedom? How did it come to that value? 8. Provide the critical value of t and explain the decision rule. 9. Is the assumption of homogeneity of variance violated? Why or why not? Provide the exact value of and explain. 10. What is the mean difference? Explain how it resulted in that value. 11. What is the p-value? Explain if it is significant or not. 12. Provide the effect size and interpret. 13. Write the complete results