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A researcher wanted to compare the average IQ score of male and female university students. She randomly selected 50 male students and 50 female students,

A researcher wanted to compare the average IQ score of male and female university students. She randomly selected 50 male students and 50 female students, then gave each student an IQ test. She performed a t-test to see if the mean IQ of the two groups differed significantly, testing at the 5% significance level.

Now suppose this experiment was performed by 300 different researchers. If the average IQ of male university students is exactly the same as the average IQ of female university students, would you expect any of the researchers to identify a statistically significant difference in the mean IQ score?

If so, approximately how many? Explain your answer.

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