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 generate a sampling distribution using StatKey, you can follow these steps:
1. Go to the StatKey website: https://www.lock5stat.com/StatKey
2. Click on "Select Applications" and choose "Sampling Distribution for a Mean".
3. In the "Data Input" section, enter the given minutes data that you provided. Select the option "Each Value in Separate Row" and paste the data.
4. Now, specify the sample size "n" as 10. Since you need to generate at least 1000 samples, you can enter "1000" in the "Number of Samples" box.
5. Leave the "Population Mean" box empty since you are interested in the sampling distribution of the mean.
6. Click on the "Compute" button to generate the sampling distribution.
7. In the output, you should see the standard deviation of the sampling distribution, which is the standard error of the sample means. This value represents the average amount of variability expected in sample means when sampling from the given data. Note that the symbol for standard error is often denoted by "SE" or "σ/√n".
By following these steps, you should be able to generate the sampling distribution using samples of size 10 from the given data and obtain the standard error of the sample means.
To create a sampling distribution using StatKey, follow these steps:
1. Open StatKey and select the "Sampling Distribution for a Mean" option.
2. In the "Raw Data" section, enter the values from Table 1 (the minutes to finish the marathon at the Olympics) separated by commas or spaces.
3. Select the option for "Simple Random Sample."
4. In the "Sample Size" section, enter 10 to indicate that you want to create samples of size n equals 10.
5. In the "Number of Samples" section, enter a number larger than 1000 to generate at least 1000 samples in the sampling distribution.
6. Click on the "Draw Samples" button to generate the sampling distribution.
Once the sampling distribution is generated, the standard error of the sample means will be provided.
Please note that StatKey is an online statistical tool developed by Lock5, and you will need internet access to use it.