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A student scores an 89 on a cognitive measure after completing brain exercises for a week. The scores on this measure are normally distributed with

A student scores an 89 on a cognitive measure after completing brain exercises for a week. The scores on this measure are normally distributed with a mean of 67 and a standard deviation of 12. The researcher predicts an effect from brain exercises but does not predict a particular direction. Using the 5% significance level, what can you conclude?

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We reject the null hypothesis and state that brain exercises significantly reduced scores on the cognitive measure.

We reject the null hypothesis and state that brain exercises did not reduce scores on the cognitive measure.

We do not reject the null hypothesis and state that brain exercises significantly increased scores on the cognitive measure.

We do not reject the null hypothesis and state that brain exercises did not affect scores on the cognitive measure.

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