A professor gave a final examination to his 400 4th year BS Criminology students. He noted that 40 of the female students had a mean performance of 122 and a variance of 60 while 35 of the male students had a mean performance of 126 and a variance of 74. Assuming that the students were randomly selected and the distribution is normal, is there a reason to believe that there is significant difference between the examination mean performance of the male and female students. Use 0.01 level to test its significance.

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A professor gave a final examination to his 400 4th year BS Criminology students. He noted that 40 of the female students had a mean performance of 122 and a variance of 60 while 35 of the male students had a mean performance of 126 and a variance of 74. Assuming that the students were randomly selected and the distribution is normal, is there a reason to believe that there is significant difference between the examination mean performance of the male and female students. Use 0.01 level to test its significance.
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