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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...

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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 Adults45 3438 2252 1548 2725 3739 4151 2446 1955 2646 36Mean = Mean =S = S =S2 = S2 =
What is your computed answer?What would be the null hypothesis in this study?What would be the alternate hypothesis?What probability level did you choose and why?What is your tcrit?Is there a significant difference between the two groups?Interpret your answer.If you have made an error, would it be a Type I or a Type II error? Explain your answer.
Answered Same Day May 23, 2022

Solution

Atreye answered on May 23 2022
105 Votes
Solution:
    Older Adults
    Younger Adults
    45
    34
    38
    22
    52
    15
    48
    27
    25
    37
    39
    41
    51
    24
    46
    19
    55
    26
    46
    36
    Mean = 44.5
    Mean = 28.1
    S = 8.682677518
    S = 8.543353492
    S2 = 75.388888888
    S2 = 72.988888888
The mean of older adults is 44.5.
The mean of younger adults is 28.1.
The standard deviation of older adults is 8.682677518
The standard deviation of younger adults is 8.543353492
The variance of older adults is 75.388888888
The...
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