Consider all the samples of size 5 from this population: 2, 5, 6, 8, 10, 12, 13. (a) Compute the mean and standard deviation of the population. (b) List all samples of size 5 and compute the mean for each sample. (c) Construct the sampling distribution of the sample means. (d) Calculate the mean and standard deviation of the sampling distribution of the sample means.
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Step 1
To find the mean of the population, add all the numbers together and divide by the total number of numbers. The population given is 2, 5, 6, 8, 10, 12, 13. \[ \text{Mean} = \frac{2 + 5 + 6 + 8 + 10 + 12 + 13}{7} = \frac{56}{7} = 8 \] Show more…
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