The mean weight of all 21-year-old women is 163 pounds. A random sample of 55 women athletes who are 21 years old showed a sample mean of 160 pounds with a standard deviation of 14 pounds. Researchers wanted to determine whether the mean weight for 21-year-old women athletes is significantly different from 163. Write the null and alternative hypotheses.

Null Hypothesis ([tex]H_0[/tex]): The mean weight of 21-year-old women athletes is equal to 163 pounds.

Alternative Hypothesis ([tex]H_a[/tex]): The mean weight of 21-year-old women athletes is not equal to 163 pounds.