Question: 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

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

BASED ON DATA ABOVE ANSWER THE FOLLOWING BELOW:

  1. What are the values of the ff.?
    1. means
    2. standard deviations
    3. variance
  2. What would be the null hypothesis in this study?
  3. What would be the alternate hypothesis?
  4. What probability level did you choose and why?
  5. What were your degrees of freedom?
  6. Is there a significant difference between the two testing conditions?
  7. Interpret your answer.
  8. If you have made an error, would it be a Type I or a Type II error? Explain your answer.

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