1. **State the problem:** We are conducting a formal hypothesis test to determine if the mean wait time at the Space Mountain ride is equal to 49 minutes. 2. **Null hypothesis (H0):** The claim is that the mean wait time is 49 minutes, so $$H_0: \mu = 49$$ 3. **Alternative hypothesis (H1):** The alternative hypothesis tests if the mean is not equal to 49 minutes, so $$H_1: \mu \neq 49$$ 4. **Possible conclusions about the null hypothesis:** - We **never accept** the null hypothesis; we either reject it or fail to reject it. - We **never accept** the alternative hypothesis; we either reject it or fail to reject it. - The correct conclusions are: - **Reject the null hypothesis (F)** if the data provides sufficient evidence against it. - **Fail to reject the null hypothesis (D)** if the data does not provide sufficient evidence against it. 5. **Summary of correct options:** - Reject the null hypothesis (F) - Fail to reject the null hypothesis (D) Incorrect options are A, B, C, and E because we do not accept hypotheses or reject the alternative directly.