A researcher conducts an experiment to test whether memory changes with age. They recruited 24 participants separated into four age  groups. The groups differ according to the age of subjects. In group one, all participants are 30 years old. Group 2, 40 years old. Group 3, 50 years old. And group 4, 60 years old. Assume that the participants 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 participant 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 four seconds. The series is shown twice, after which participants are asked to write down as many of the syllables as they can remember. Below is number of syllables remembered by each participant. 30 years old 14 13 15 17 12 10 40 years old 12 15 16 11 12 18 50 years old 17  14 14 9 13 15 60 years old 13 10 7 8 6 9 what is the alternative and null hypotheses? what is the mean and standard deviation for each group? What are the results in conclusion? Clear indication of the hypothesis test being conducted and obtain statistic?

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A researcher conducts an experiment to test whether memory changes with age. They recruited 24 participants separated into four age  groups. The groups differ according to the age of subjects. In group one, all participants are 30 years old. Group 2, 40 years old. Group 3, 50 years old. And group 4, 60 years old. Assume that the participants 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 participant 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 four seconds. The series is shown twice, after which participants are asked to write down as many of the syllables as they can remember. Below is number of syllables remembered by each participant.

30 years old

14

13

15

17

12

10

40 years old

12

15

16

11

12

18

50 years old

17 

14

14

9

13

15

60 years old

13

10

7

8

6

9

what is the alternative and null hypotheses?

what is the mean and standard deviation for each group?

What are the results in conclusion?

Clear indication of the hypothesis test being conducted and obtain statistic?

Expert Solution
Step 1

A researcher wishes to test the change of memory with age. He conducts an experiment in which there are 4 groups of 6 subjects each. The groups are categorized according to the age of subjects.

For the analysis here we use ANOVA.

The null and alternative hypothesis are,

H0 : There is no significant effect of age on memory. Therefore, the four sample set of scores are random sample from the population where, μ1 = μ2 = μ3 = μ4

Ha : There is significant effect of age on memory. At least one of the means (μ1, μ2, μ3, μ4) differs from the at least one of the the others.

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