Q:

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?

Accepted Solution

A:
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 = 50Mean score of New York psychology = 530Mean score of California psychology = 515Standard deviation = 80So, we will find t-distribution first.[tex]t=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\t=\dfrac{530-515}{\dfrac{80}{\sqrt{50}}}\\\\t=1.32[/tex]Let α = 5% = 0.05So, [tex]t_{\alpha,2}=2.920[/tex]Since t < t(critical value)No, New York students are not truly more nerdy than the California students.