Thursday HW!

Tonight, please complete the "Exploring Sampling Distributions" questions that we started in class (or below). Feel free to use these applets to help!

Sampling Distribution for Proportions Applet

Sampling Distribution for Means Applet

The questions on the back ask about different types of sampling distributions. For example, if I were considering the sampling distribution for means, this would mean I take a sample, find the mean, and plot that mean. Then I take another sample, plot that mean, and plot it. I would continue to do this. As I plotted means, I would expect most values of the means to be "in the middle," and so ultimately I would expect most plotted 'points" in the middle, or an approximately Normal shape.

Your job is to consider the shape of the shape of the sampling distributions for maxima, minima, and medians. Think: if I take a sample, plot the max, and repeat, where would most maxima be? In the middle? On the right? On the left? What shape does this result in?

Exploring Sampling Distributions (HW Questions)

1.       Describe/outline the process shown in the applets to define a sampling distribution for sample proportions.  WRITE YOUR ANSWER USING COMPLETE SENTENCES. (2 points)

2.       After exploring the sampling distribution for proportions, define the model—shape, mean and standard deviation. WRITE YOUR ANSWER USING A COMPLETE SENTENCE. (1 poin

“The sampling distribution for proportions is…..with a mean of…..and a standard deviation of….”

3.       Describe/outline the process shown in the applets to define a sampling distribution for sample means. WRITE YOUR ANSWER USING COMPLETE SENTENCES. (2 points)

4.       After exploring the sampling distribution for means, define the model—shape, mean and standard deviation. WRITE YOUR ANSWER USING A COMPLETE SENTENCE. (1 point)

“The sampling distribution for means is…..with a mean of…..and a standard deviation of….”

5.       Discuss with your group: what would the sampling distribution for maxima look like? Sketch a distribution and describe the shape (in words). (1 point)

6.       Discuss with your group: what would the sampling distribution for medians look like? Sketch a distribution and describe the shape (in words). (1 point)

7.       Discuss with your group: what would the sampling distribution for minima look like? Sketch a distribution and describe the shape (in words). (1 point)

Lastly, if you'd like to get a head start, here's our weekend homework:

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