A researcher has developed a new questionnaire measuring self-compassion. Self-compassion has been defined as a self-attitude that involves compassion to one's self in instances of situational difficulties, perceived inadequacy, or general suffering. The researcher wanted to compare the self-compassion scores for male and female university students. He randomly selected 120 female students and 120 male students and asked them to complete the self-compassion questionnaire (measured on a scale of 0 to 25 with higher scores representing higher self-compassion). An independent samples t-test was then conducted to see if the mean self-compassion scores of the two groups differed significantly, testing at the 5% significance level.

Now imagine this comparison was performed by 40 different researchers.

If the average self-compassion score of male students is exactly the same as the average self-compassion score of female students, would you expect any of the researchers to identify a statistically significant difference in the mean self-compassion scores of these two groups of students in their samples of 240 participants? If so, approximately how many? Explain your answer.