Suppose a simple random sample of size n is drawn from a large population with mean mu and standard deviation sigma. The sampling distribution of x overbar has mean mu Subscript x overbarequals and standard deviation sigma Subscript x overbarequals.

The sampling distribution of x overbar has mean μ Subscript x overbars = "μ", nd standard deviation sigma Subscript x overbar = "σ overbar square root of n"

Explanation:

The symbol for Standard Deviation is σ (the Greek letter sigma).

"To calculate the standard deviation of those numbers:

1. Work out the Mean (the simple average of the numbers)

2. Then for each number: subtract the Mean and square the result

3. Then work out the mean of those squared differences.

4. Take the square root"

Reference: MathisFun.com. “Standard Deviation Formulas.” Standard Deviation Formulas, 2017

Suppose a simple random sample of size n is drawn from a large population with mean mu and standard deviation sigma. The sampling distribution of x overbar has mean mu Subscript x overbarequals​______ and standard deviation sigma Subscript x overbarequals​______.

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Suppose a simple random sample of size n is drawn from a large population with mean mu and standard deviation sigma. The sampling distribution of x overbar has mean mu Subscript x overbarequals and standard deviation sigma Subscript x overbarequals.