Sia

To find the p-value for your hypothesis test, we first need to calculate the test statistic based on your sample data. Since you are testing whether the average weight difference is greater than 10 kg, we will use a one-tailed test.

1. 

 and the sample standard deviation ($s$) from your data.
2. 

 using the formula for the z-score:

$$z = \frac{\bar{x} - \mu_0}{\frac{s}{\sqrt{n}}}$$

where:
- $\bar{x}$ is the sample mean,
- $\mu_0 = 10$ kg (the value under the null hypothesis),
- $s$ is the sample standard deviation,
- $n$ is the sample size (which is 100 in your case).

3. 

 associated with the calculated z-score. Since this is a one-tailed test, you can use the standard normal distribution table or a calculator to find the p-value:

$$\text{p-value} = P(Z > z)$$

4. 

:
   - If the p-value is less than $\alpha$, you reject the null hypothesis.
   - If the p-value is greater than $\alpha$, you fail to reject the null hypothesis.

If you provide the sample mean and standard deviation from your data, I can help you calculate the p-value more specifically!