Please help me and walk me through the steps of this question, including equations and work if possible.

Part II. Student's t-Test 2. 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 younger adults (between 20 and 30) were given a life satisfaction test. Scores on the measure range from 0-60 with high scores indicative of high life satisfaction. Older Adults Younger Adults 45 34 38 22 52 15 48 27 25 37 39 41 51 24 46 19 55 26 46 36 Sample 1 Mean = 44.50 Sample 2 Mean = 28.10 Sample 1 SD = 8.68 Sample 2 SD = 8.54 Sample 1 N = 10 Sample 2 N = 10 a. Write out the null and research hypothesis for the above question. b. Calculate the t value. c. What is the critical value for t? d. Is there a significant difference between the two groups? e. What probability level did you choose and why? f. Interpret your