Use the Sampling Distribution for a Mean option in StatKey to create a sampling distribution using samples of size n equals 10 from Table 1 showing the number of minutes to finish the marathon at the Olympics. Generate at least 1000 samples in your sampling distribution and give the standard error of the sample means.

To use the Sampling Distribution for a Mean option in StatKey, follow these steps:

1. Go to the StatKey website (www.lock5stat.com/statkey/) and click on the "StatKey" link.

2. Once on the StatKey page, click on the "Sampling Distributions" tab at the top of the page.

3. Under the Sampling Distribution for a Mean section, select the "Samples from table" option.

4. You mentioned using Table 1 to generate samples of size n equals 10. Unfortunately, I do not have access to Table 1, so I cannot provide the exact numbers. However, you can manually input the numbers from Table 1 into the StatKey interface to create your sampling distribution.

5. In the sample size box, enter the value "10" to specify the size of each sample.

6. In the "Number of samples" box, enter a value greater than or equal to 1000 to generate at least 1000 samples in your sampling distribution. For example, you can enter "1000" or "2000".

7. Click on the "Compute" button to generate the sampling distribution.

Once the sampling distribution is generated, the standard error of the sample means will be displayed in the output. The standard error measures the variability of the sample means in the sampling distribution. It is calculated as the standard deviation of the sample means divided by the square root of the sample size.

By using the Sampling Distribution for a Mean option in StatKey and inputting the appropriate values, you can create a sampling distribution based on samples of size 10 from Table 1 and obtain the standard error of the sample means.

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