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:

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.

To determine whether the mean number of words remembered by participants in the three groups are significantly different, we can use a one-way analysis of variance (ANOVA) test. ANOVA helps us compare means across multiple groups and assess whether the observed differences are statistically significant.

Let's break down the steps to conduct the ANOVA test for this study:

Step 1: Define Hypotheses

The null hypothesis (H0) assumes that there is no significant difference in the means of the three groups. The alternative hypothesis (H1) assumes that at least one group's mean is significantly different from the others.

• Null Hypothesis (H0): The mean number of words remembered is the same across all three groups.
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