Question: 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 the subjects. In group 1, the subjects are each 30 years old; group 2, 40 years old; group 3, 50 years olf; and group 4, 60 years old. Assume that subjects are all in good health and that the groups are matched on other important variable such as years of education, IQ, sex, motivation, etc. 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 subject is shown below.

Use the analysis of variance with \(\alpha \) = 0.05 to determine if age has an effect on memory.