A researcher recruits 6 subjects for an experiment on the effects of sleep on memory. At time 1, the subjects are allowed to sleep 8 hours and then take a memory test on material they learned the day before. At time 2 they are only allowed to sleep 4 hours before taking a memory test on material they learned the day before. Their scores (number of correct answers) were: Time 1Time 2 12 10 8 10 10 8 6 4 9 7 9 9 Use a two-tail test of significance and set at .05. Assume that the data is interval/ratio and normally distributed. Please answer the following questions and SHOW ALL WORKING: a. State the null hypothesis: b. State the alternative hypothesis: c. What is the appropriate statistical test? d. What is the significance level? e. What is the appropriate sampling distribution? f. What is the critical rejection region for the null hypothesis? (Consult your tables.) g. Calculate the statistic and draw your conclusions