Question
A study involves testing whether or not the amount of caffeine consumed affected memory. Fifteen volunteers took part in this study. They were given three types of drink (type A,B and C) containing different levels of caffeine (50 mg, 100 mg, and 150 mg, respectively). Volunteers were divided into three groups of five each and were assigned the drink groupwise. They were then given a memory test (In terms of number of words remembered from a list). The results are given in the following table:
| Group A (50 mg) | Group B (100 mg) | Group C (150 mg) |
| 7 | 11 | 14 |
| 8 | 14 | 12 |
| 10 | 14 | 10 |
| 12 | 12 | 16 |
| 7 | 10 | 13 |
At significance level of 5%, check whether the mean number of words remembered from the list by the participants belonging to the three groups are significantly different.
Answer :
Word Count : 265
To check whether the mean number of words remembered by the participants in the three groups (50 mg, 100 mg, and 150 mg caffeine) are significantly different, we perform a one-way ANOVA test. ### Step 1: Define Hypotheses - Null Hypothesis (H₀): There is no significant difference in the mean number of words remembered across the three groups. - Alternative Hypothesis (H₁): At least one group _____ _____ _________ ________ __________ _____.
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To check whether the mean number of words remembered by the participants in the three groups (50 mg, 100 mg, and 150 mg caffeine) are significantly different, we perform a one-way ANOVA test. ### Step 1: Define Hypotheses - Null Hypothesis (H₀): There is no significant difference in the mean number of words remembered across the three groups. - Alternative Hypothesis (H₁): At least one group _____ _____ _________ ________ __________ _____.
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