A research study was conducted to examine the differences between older and youn

Question

A research study was conducted to examine the differences between older and younger adults on perceived life satisfaction. Ten older adults (over the age of 70) and ten younger adults (between 20 and 30) were given a life satisfaction test (known to have high reliability and validity). Scores on the test ranged from 0 to 60 with high scores indicative of high life satisfaction; low scores indicative of low life satisfaction. The data are presented below, Perform the appropriate t-test at alpha = 0.05. Give the Null and Alternative Hypotheses, Show Critical Value and make a statistical decision, Write a valid one-sentence conclusion, Give the Experimental Design and Model of the equivalent ANOVA.

Explanation / Answer

older younger Ho : miu 1 = miu 2 45 34 Ha: miu1 is not equal to miu 2 38 22 52 15 t = ( 48.5 - 28.1 ) / srqt ( 8.68^2+8.54^2 / 10 ) 48 27 t = 5.30 25 37 39 41 for alpha = 0.05   df = 18 critical value : 1.734 51 24 46 19 since t > critical value we reject Ho 55 26 conclusion there is a difference between the groups 46 36 mean 48.5 28.1 SD 8.68 8.54

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