Aa Aa E. 17. Part III, Problem 1 People tend to evaluate the quality of their li

Question

Aa Aa E. 17. Part III, Problem 1 People tend to evaluate the quality of their lives relative to others around them. In a demonstration of this phenomenon, Nynke Frieswijk and coworkers conducted interviews with fra elderly people. In the interview, each person was compared with fictitious others who were worse off. After the interviews, the participants completed a life-satisfaction survey and reported more satisfaction with their own lives. CFrieswijk, N., Buunk, B. P. Steverink, N., & Slaets, J. P. J. (2004). The effect of social comparison information on the life satisfaction of fra older persons Psychology and Aging, 19 183-190.1 Following are hypothetical data similar to those obtained in the research study, representing satisfaction scores for a sample of n 39 older people who completed the interview. Assume that the average score on the life-satisfaction scale is H 20. The scores for the sample are 18, 23, 24, 22, 19, 27, 23, 26, 25 Calculate the mean and standard deviation for the sample.

Explanation / Answer

mean = 23
standard devaition = 3

t critical value for 0.05 significance level for right tailed test = 1.729

mu = 20 , n = 9

t = (mean - mu ) / ( s /sqrt(n))
= ( 23 - 20) /( 3 / sqrt(9))
= 1

Fail to reject the null hypothesis. there is not a significant increase in life satisfaction

Cohen's d = 2t /sqrt(df)
= 2*1 / sqrt (8)
= 0.707

Point estimate = 23

t value at 95% CI = +/-2.306

CI = mean + /- t * ( s/sqrt(n))
= 23 + /- 2.306 * ( 3 / sqrt(9))
= (20.694 , 25.306)

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