Please Help me to solve the Problems Given Below, Practical Research Tutors

Task A. Solve the following problems completely as directed: 1. The data below shows the scores obtained by the top ten junior high school students at a certain private high school on an entrance test for Senior High School (SHS) and a mathematical ability aptitude test for STEM strand STUDENT SHS ENTRANCE MATHEMATICAL ABILITY TEST (x) APTITUDE TEST (y) 55 52 32 26 68 56 62 50 40 38 62 60 40 50 30 18 48 44 68 56 Directions: a. Plot a scatter diagram for the data b. Calculate the Pearson r c. Convert to ranks and calculate the Spearman Rank-Order Correlation Coefficient 2. The ranks of the height and weight of seven male senior high school students are given below. Calculate the correlation coefficient. STUDENT A 3.5 B 1 C 3.5 D 5.5 E 5.5 F 7 2 3. The sales of a company (in million dollars) for each year are shown in the table below. x (year) 2005 2006 2007 2008 2009 y (sales) 12 19 29 37 45 a. Find the least square regression line y = axt b. b. Use the least squares regression line as a model to estimate the sales of the company in 2012.4. A clinical psychologist has run a between-subjects experiment comparing two treatments for depression (cognitive-behavioral therapy (CBT) and client-centered therapy (CCT) against a control condition. Subjects were randomly assigned to the experimental condition. After 12 weeks, the subject's depression scores were measured using the CESD depression scale. The data are summarized as follows: 1 mean sd CONTROL 40 21.4 4.5 CBT 40 16.9 5.5 CCT 40 19.1 5.8 Use a one-way ANOVA with a=.01 for the test. 5. A research study was conducted to examine the differences between older and younger adults on perceived life satisfaction. A pilot study was conducted to examine this hypothesis. Ten older adults (over the age of 70) and ten younger adults (between 20 and 30) were give a life satisfaction test (known to have high reliability and validity). Scores on the measure range from 0 to 60 with high scores indicative of high life satisfaction, low scores indicative of low life satisfaction. The data are presented below. Compute the appropriate t-test. OLDER ADULTS YOUNGER ADULTS 45 34 38 22 52 15 48 27 25 37 39 41 51 24 46 19 55 26 46 36 a. What is your computed answer? b. What would be the null hypothesis in this study? c. What would be the alternate hypothesis? d. What probability level did you choose and why? e. What is your terit? f. Is there a significant difference between the two groups? g. Interpret your