Q2) Paired-SamplestTest
A research project has been tracking the health and cognitive functions of the elderly population in Arizona. The table below shows the memory test scores from some elderly residents, tested first when they were 70 years old and again when they were 80 years old. The researcher wants to know if there is a significant decline in memory functions from age 70 to age 80 based on this sample. In other words, it is hypothesized that the memory score at age 80 is significantly lower than the memory score at age 70. So the null and alternative hypotheses should be directional. The alpha level was set at α = .01 for a one-tailed hypothesis test.
Memory score
Subject
Age 70
Age 80
1
72
67
2
85
79
3
69
71
4
76
5
82
78
6
7
88
84
8
64
9
65
63
10
80
1.Interpret the result in 1 sentence to answer the research question (you may use the wording from the hypothesis or explain it in your own words)
2. Calculate the standardized effect size of this hypothesis test
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