Question

A group of 50 New York psychology students got a mean score of 530 on the psychology GRE with a standard deviation of 80. These students claim to be WAY more nerdy than a group of 50 California psychology students who had a mean score of 515 with a standard deviation of 50. Are the New York students truly more nerdy than the California students?

Answer 1

Answer: No, New York students are not truly more nerdy than the California students.

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.

`t=(x-\mu)/((\sigma)/(√(n)))\\\\t=(530-515)/((80)/(√(50)))\\\\t=1.32`

Let α = 5% = 0.05

So,
`t_(\alpha,2)=2.920`

Since t < t(critical value)

No, New York students are not truly more nerdy than the California students.