5 4 1 5 5 6 2 2 4 6 3 5 4 1 3 4 4 5 6 1 2 2 3 6 4 4 5 5 1 2 1 1 1 3 4 5 6 6 4 1

Question

5 4 1 5 5 6 2 2 4 6 3 5 4 1 3 4 4 5 6 1 2 2 3 6 4 4 5 5 1 2 1 1 1 3 4 5 6 6 4 1 142/40=3.55 6 4 5 2 1 4 4 3 3 2 1 4 5 5 3 3 2 1 1 2 4 4 5 4 5 6 6 1 3 3 6 6 4 5 1 2 1 4 3 4 138/40=3.45 Mean of the Sample Means: (3.55+3.45)/2=3.5 1. The sample mean was not the same. 2. The sample means were close to each other. Only .10 difference. 3. The first sample was .05 over expected value. The second sample was .05 below the expected value. 4. The mean of my samples is dead on point with the expected value 3.5. How does this value compare to the expected value of 3.5? Is it closer or not? The distribution of the random variable, x, is a uniform distribution? Describe the shape of the random variable x with bar on top. Now read pages 274 - 276, Sampling Distribution of the Sample Mean, especially the Behavior of Sample Mean on the top of page 275. Write a brief reflection about what you have leaned through this experiment.

Explanation / Answer

The sample mean was not the same because the mean of my samples is dead on point with the expected value 3.5.

No, the distribution of the random variable, x, is not a uniform distribution.

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