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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?

Respuesta :

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.

[tex]t=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\t=\dfrac{530-515}{\dfrac{80}{\sqrt{50}}}\\\\t=1.32[/tex]

Let α = 5% = 0.05

So, [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.

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