Is it rare for a science journal to publish a research experiment done by an undergraduate student?

I am in my last year of undergraduate school, majoring in psychology, and I just finished completing a research experiment. Although my results weren’t scientifically significant, the effect sizes were large, which suggests that I would most likely find significance if I were to test my experiment on more participants. My teacher suggested that I run more participants next semester and try to get my research published in a scientific journal.

I was just wondering if it would be worth my time to run these extra 40–60 participants, because it would be a lot of work but would certainly pay off if I could get my research published.

Is it very rare for undergraduate students to publish their research in a scientific journal?