Question: A psychological theory predicts that first-born children will have above average

IQs. A sample of n = 25 people who were first-born children is obtained. The mean IQ for this sample is M = 105.5. For the general population, IQs form a normal distribution with \(\mu \) = 100 and \(\sigma \) = 15.

1. Use a one-tailed test with \(\alpha \) = .05 to evaluate the theory.
2. Repeat the hypothesis test using a two-tailed test with \(\alpha \) = .05.

You should find that the one-tailed test and the two-tailed test lead to different conclusions. Explain why this difference occurs.

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