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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.

Answer :

Final answer:

The null hypothesis is that the mean weight for 21-year-old women athletes is equal to 163 pounds. The alternate hypothesis is that the mean weight is significantly different than 163 pounds.

Explanation:

The null hypothesis for this research question is that the mean weight for 21-year-old women athletes is equal to 163 pounds. It can be stated as:

H0 : μ = 163

The alternate hypothesis is that the mean weight for 21-year-old women athletes is significantly different than 163 pounds. It can be stated as:

HA : μ ≠ 163

Learn more about Hypothesis testing here:

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