Reconsider the previous exercise about the effect of social media on a person’s self-esteem. In the actual study conducted by the statistics students, there were 27 people assigned to each of the three groups, for a total of 81 subjects. Suppose that instead of 27, each group had 30 people and the same statistics (means and SDs) as before were obtained. How, if at all, would the following be different? (Choose one for each of parts (a)–(c).)
a. The F-statistic:                                                                         Larger      Smaller    Same
b. The p-value:                                                                             Larger      Smaller    Same
c. The strength of evidence:                                                         Stronger  Weaker    Same
d. Explain your reasoning for your choices in parts (a)–(c).

Data from previous exercise

A group of statistics students wanted to investigate the effect of social media on a person’s self-esteem. For this purpose, they conducted a study where participants were randomly assigned to one of three groups: browsing ENews for 2 minutes and then taking a survey, browsing Facebook for 2 minutes and then taking the survey, or a control group where the participant just took the survey. The survey, based on the Rosenberg self-esteem scale, was the tool used to measure each participant’s self-esteem. Each participant was then given a score based on their responses to the survey, and higher scores are considered indicative of higher self-esteem.