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skelet666 [1.2K]
3 years ago
6

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?
Mathematics
1 answer:
lesantik [10]3 years ago
3 0

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.

t=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\t=\dfrac{530-515}{\dfrac{80}{\sqrt{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.

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