Sampling

*Card hands
https://davidwills.us/math103/cardhand.html

freq dist, histogram, stats ***
https://davidwills.us/math103/freq_histogram.html

Work with a partner. each doing one of the webpages.

Card value: Ace is 1, 2 2, ..., Jack 11, Queen 12, King 13. 
Each card hand's mean is calculated.

Card hand of size 3 (sample size n) 
20 times (20 samples), adding each's mean into Frequency distribution, histogram, and statistics input textbox.
Then calculate the mean of those 20 means. =_______  (the mean of the 20 sample means)
                  and their s=______  (the SD of the sample means)

Switch partner webpages.

Card hand of size 10 (sample size n)
20 times (20 samples), adding each's mean into Frequency distribution, histogram, and statistics input textbox.
Then calculate the mean of those 20 means. =_______  (the mean of the 20 sample means)
                  and their s=______  (the SD of the sample means)

The two means of the sample means don't differ much. 
But the two standard deviations of the sample means are significantly different:
the smaller sample size n=3 sample means have a larger SD, so those samples are more spread out, 
have more variation, than the larger sample size n=10 sample means with the smaller SD, 
and so the larger sample size makes it more likely that your sample is closer to the population mean.

What does having a larger sample size get you:_______________________


The SDs indicate that the _______ the sample size, the sample means have _____ variation.
The SDs indicate that the _______ the sample size, the sample means have _____ variation.

So if the deck is the population and we want to estimate its mean
______________________________