CLT tells us:http://onlinestatbook.com/stat_sim/sampling_dist/index.html(Links to an external site.)

First, take a look at the video in your online notes:CLT Video(Links to an external site.)

Pretend we are interested in the time in takes Penn State students to come to school in the morning.If I ask you to get an estimate for this you would probably take a random sample of students, interview them and calculate the sample average.

Now, let's simulate the sampling distribution of sample average by resampling from the population many many times (say 10,000 times).

In the Java App: Biock histogram: Population distribution (Distribution of time it takes for the PSU students to come to campus) Biue histogram: Sampling distribution of )7 You will be observing what happen to the shape, center (measured by mean) and spread (measured by SD) ofthe sampling distribution of by: 1. Completing below table 2. Comparing the means of the two histograms. % with SD of blue histogram. and what happens to the shape of the blue histogram as the sample size increases. 3. Summarizing what you observe in a one or two sentences. First row is already completed for you. Please note that this is a simulation, so each time you run the simulation numbers in the blue histogram will be slightly different but should be roughly the same. Black histogram Blue histogram Distribution n (N in the app) Distribution Looks normal Skewed 25