Answer: No, New York students are not truly more nerdy than the California students.
Step-by-step explanation:
Since we have given that
Number of students in a group = 50
Mean score of New York psychology = 530
Mean score of California psychology = 515
Standard deviation = 80
So, we will find t-distribution first.
Let α = 5% = 0.05
So,
Since t < t(critical value)
No, New York students are not truly more nerdy than the California students.