In: Statistics and Probability
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 answer.