1. The problem asks to express the null hypothesis $H_0$ and the alternative hypothesis $H_1$ symbolically for the statement: "The mean weight of women who won a beauty pageant is equal to 116 lb." 2. The null hypothesis $H_0$ always represents the statement of no effect or no difference, which in this case is that the mean weight $\mu$ equals 116. 3. The alternative hypothesis $H_1$ represents what we want to test against $H_0$. Since the statement says "equal to 116 lb," the alternative hypothesis should be that the mean weight is not equal to 116 (two-tailed test). 4. Therefore, the symbolic forms are: $$H_0: \mu = 116$$ $$H_1: \mu \neq 116$$ 5. This matches the last option given in the problem. Hence, the correct hypotheses are $H_0: \mu = 116$ and $H_1: \mu \neq 116$.