NAME: An investigator is interested in predicting scores for a measure of cognitive function from the number of hours of sleep a person gets on average. She obtains scores for both the number of hours of sleep and cognitive function from 12 people. Higher scores for cognitive function reflect higher levels of performance. Hours of sleep Cognitive function 8.1 100 5.4 79 6.1 72 7.4 62 9.0 122 8.5 89 6.4 76 94 131 8.7 110 7.6 92 101 115 1. Write the null and research hypotheses for the relationship between sleep and cognitive functioning in regular prose-i.e. you do NOT need to use HO/HI form. 2. Fill in the table below by computing using the data above. symbol result 3. Computer (the correlation cocfficient) by hand using the results from part 3. What is the correlation coefficient between the number of hours of sleep and scores on the measure of cognitive function? 4. Is it significant? Determine this by using the critical values table. 5. Does the amount of sleep account for a significant amount of variability in scores for cognitive function? What proportion of variance in cognitive function is accounted for by sleep (ic. what is the coefficient of determination?) 6. Write your result in APA format (there is an example in our lecture). 7. Statement (assuming normality) a What percentage of indents score fall boomin s / some of -1.80 and 1:007 b. What percentage of students scores fall shave a 2 score of 1.507 e. What percentage of students scores fall below a 2 score of 1 507 d. What percentage of sudens' son's fall beraven a 2 score of -010 and -1.507 e A student's I wure is -1.0. The mean for the population is 90 and the standard deviation is 15. What is the student's raw wore I. A student's 2 score is 1.6. The mean for the population in Hand the soulard devision is 15. What is the student's raw wayy! What percentage of students scores fall shave a 2 score of . BUT ID Stress Score Depression Score Life Sathfaction Score a. For each variable, find and report the mean, median, mode, standard deviation, variance, and exclusive range b. Write a null and research hypothesis for the relation of stress and depression. Find r and r*2 (the coefficient of determination). Report the result in APA format. Be sure to state whether the result is significant, and to indicate the strength, direction, and whether it appears to match the null or research hypothesis Show ALL work (you may copy-paste pictures into this document to show work if you prefer)