To express the null and alternative hypotheses in symbolic form for the claim that the mean weight of male aerobics instructors in a certain city is more than 183 lbs, we can define:
- \( \mu \): the mean weight of male aerobics instructors in the city.
The null and alternative hypotheses can be formulated as follows:
- Null hypothesis (\( H_0 \)): \( \mu \leq 183 \) (The mean weight is less than or equal to 183 lbs.)
- Alternative hypothesis (\( H_1 \)): \( \mu > 183 \) (The mean weight is greater than 183 lbs.)
Thus, in symbolic form:
- \( H_0: \mu \leq 183 \)
- \( H_1: \mu > 183 \)