A psychology lecturer wants to investigate whether students majoring in statistics perform better in quantitative reasoning than the general student population at a university. The average quantitative reasoning score for all university students is 70, while the average score for statistics majors is 75. Although the mean score of statistics students is higher than that of the overall student population, the lecturer cannot conclude that statistics students truly perform better. Why is it not appropriate to make this conclusion based solely on these results?

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We need to consider the possibility of a measurement error.

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We need to conduct a z-test first.

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There is a problem with the sampling distribution.

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We need to check the z-distribution to determine significance.

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A psychology lecturer wants to investigate whether students majoring in statisti...

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