Simulation

In order to conduct our simulation, we are going to make up a hypothetical population of 18,000 Cal Poly students. First, let's assume that the population of sleep hours for all Cal Poly students follows a roughly normal distribution with mean mu = 8 hours (as indicated under the null hypothesis) and standard deviation sigma = 1.5 hours. We can then investigate whether the observed value of the sample mean is surprising to arise for a random sample from such a population...

(f) So for this simulation, identify the following:

Null model

 

One repetition

 

Statistic

 

Below is an internet applet you are to use for this lab. Follow the instructions in the window below, scrolling down for further instructions.



(g) In the first column of the table in your report, state the shape, mean, and standard deviation of your null distribution of sample means (far right graph). Also, report the estimate of the p-value.

(h) Check the box to Overlay Normal Distribution. Does the normal distribution appear to be a reasonable model for the distribution of sample means?

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