Sampling Distribution of a Sample Mean: Apply It 1

  • Create a sampling distribution given [latex]\mu[/latex] and [latex]n[/latex].
  • Know and check the conditions of the Central Limit Theorem.
  • Use the normal approximation to compute probabilities involving sample means when appropriate.

Sampling Variability

Let’s use simulations to explore the variability of the sample means.

Step 1: Under Select Population Distribution, choose Bell-Shaped.
Step 2: Select the enter values for [latex]\mu[/latex] and [latex]\sigma[/latex] option and enter each of the mean and standard deviation values accordingly.
Step 3: Use the slider or enter the value for the sample size [latex]n[/latex].
Step 4: Select how many samples you want to simulate drawing from the population and click on Draw Sample(s).
Step 5: Click on Find Probability to calculate the probability at or below a certain value.


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