The links of individual fish in a pond have an approximate normal distribution w

Question

The links of individual fish in a pond have an approximate normal distribution with a mean of 18.6 cm and a standard deviation of 6.0 cm. a sample of 36 fish is taken. what is the standard deviation of the sample lien distribution of the sample mean for the 36 fish? The links of individual fish in a pond have an approximate normal distribution with a mean of 18.6 cm and a standard deviation of 6.0 cm. a sample of 36 fish is taken. what is the standard deviation of the sample lien distribution of the sample mean for the 36 fish? The links of individual fish in a pond have an approximate normal distribution with a mean of 18.6 cm and a standard deviation of 6.0 cm. a sample of 36 fish is taken. what is the standard deviation of the sample lien distribution of the sample mean for the 36 fish?

Explanation / Answer

The standard deviation of the sample link distribution is also known as the standard error of the sampling distribution. The standard error of the sampling distribution is defined as -

SE = population standard deviation / sqrt (n)

where n is the sample size.

so, in this case SE = 6/ sqrt(36)

=> SE = 6 / 6 = 1

So, the standard deviation of the sampling distribution of the sample mean for 36 fishes = 1.

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