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In: Statistics and Probability

Part II. Student’s t-Test 2. A research study was conducted to examine the differences between older...

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.

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