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Hypothesis Test D88542

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1. **State the problem:** We want to test the claim that the mean wait time at the Space Mountain ride is 49 minutes. 2. **Null hypothesis (H0):** This is the statement that there is no effect or no difference. It is usually a statement of equality. $$H_0: \mu = 49$$ This means the population mean wait time is 49 minutes. 3. **Alternative hypothesis (H1):** This is what we want to test against the null hypothesis. It represents a difference or effect. Since the problem states a two-tailed test (mean not equal to 49), the alternative hypothesis is: $$H_1: \mu \neq 49$$ 4. **Explanation:** - The null hypothesis assumes the average wait time is exactly 49 minutes. - The alternative hypothesis assumes the average wait time is different from 49 minutes (could be less or more). This setup is typical for a two-tailed hypothesis test where we check if the mean differs from a specific value. Final answers: - Null hypothesis: $H_0: \mu = 49$ - Alternative hypothesis: $H_1: \mu \neq 49$