Minutes
126.53 127.27 130 130.35 130.4 130.58
130.87 131.18 131.98 132.55 133.28 133.42
133.43 133.55 133.65 134 134.37 134.62
134.73 135 135.95 136.12 136.17 136.23
136.28 137.7 137.83 137.93 138.18 138.25
138.43 138.67 139.13 139.72 140.25 140.38
140.4 140.42 140.5 141.27 141.3 141.85
141.95 142.72 143.15 143.33 143.4 143.78
143.9 143.95 144.13 144.32 144.47 144.8
145.05 145.18 145.83 146.48 146.92 147.28
148.07 148.23 148.43 148.67 149.08 149.47
149.62 149.92 150.12 150.43 151.72 152.58
153.53 155.1 159.02 161.13 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. need to understand how to solve thanks
To solve this problem, you will need to use a statistical tool called StatKey to generate a sampling distribution and calculate the standard error of the sample means. Here are the steps you can follow:
1. Open StatKey in your web browser and go to the "Sampling Distribution" section.
2. In Table 1, you have a list of marathon finish times in minutes. Copy and paste this data into StatKey by either typing it in manually or by uploading a file.
3. In the StatKey interface, select the option for "Sampling Distribution for a Mean." This will help you generate a sampling distribution based on samples of size n equals 10.
4. Specify the number of samples you want to generate. In this case, you need to generate at least 1000 samples.
5. Click on the "Calculate" or "Generate" button to generate your sampling distribution. StatKey will create a distribution of sample means based on the randomly selected samples.
6. Once the sampling distribution is generated, you can find the standard error of the sample means by dividing the standard deviation of the sample means by the square root of the sample size.
7. Look for the standard deviation value in the output of StatKey, which represents the standard deviation of the sample means. Divide this value by the square root of 10 (since the sample size is n equals 10) to obtain the standard error.
By following these steps, you will be able to generate a sampling distribution and calculate the standard error of the sample means for the marathon finish times dataset.