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Summarize the results.

1
Summarize these results.

Fill the following gaps using the words from the bank below.

As the sample size the standard deviation of the sample means will . The ratio of the sample standard deviation and the population standard deviation is proportionate to the of the .


Word bank: decrease, increases, sample size, square root

As the sample size increases the standard deviation of the sample means will decrease. The ratio of the sample standard deviation and the population standard deviation is proportionate to the square root of the sample size.

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Notice the pattern:

As we take different samples we will get different sample means. These sample means will have a spread that is different depending on the size of the sample.

Key Fact: The standard deviation of the sample means can be predicted by taking the population standard deviation divided by the square root of the sample size.