To test whether memory changes with age, a researcher conducts an experiment in which there are four groups of six subjects each. The groups differ according to the age of subjects. In group 1, the subjects are each 30 years old; group 2, 40 years old; group 3, 50 years old; and group 4, 60 years old. Assume that subjects are all in good health and that the groups are matched on other important variables such as years of education, IQ, gender, motivation, and so on. Each subject is shown a series of nonsense syllables (a meaningless combination of three letters such as DAF or FUM) at a rate of one syllable every 4 seconds. The series is shown twice, after which the subjects are asked to write down as many of the syllables as they can remember. The number of syllables remembered by each subjects are shown in the table below.
30 years old |
40 years old |
50 years old |
60 years old |
14 |
12 |
17 |
13 |
13 |
15 |
14 |
10 |
15 |
16 |
14 |
7 |
17 |
11 |
9 |
8 |
12 |
12 |
13 |
6 |
10 |
18 |
15 |
9 |
Use ANOVA with α=0.05 to determine whether age has an effect on memory.
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