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GarryVolchara [31]
4 years ago
11

Is the statement below true or​ false? The distribution of the sample​ mean, x overbar​, will be normally distributed if the sam

ple is obtained from a population that is normally​ distributed, regardless of the sample size.
Mathematics
1 answer:
AleksAgata [21]4 years ago
4 0

Answer:

<h3>The given statement " The distribution of the sample​ mean, x-bar, will be normally distributed if the sample is obtained from a population that is normally​ distributed, regardless of the sample size " is <u>True. </u></h3>

Step-by-step explanation:

Given statement is " The distribution of the sample​ mean, x overbar​, will be normally distributed if the sample is obtained from a population that is normally​ distributed, regardless of the sample size".

<h3>To check whether the given statement is true or not :</h3>
  • The distribution of the sample​ mean, x-bar, will be normally distributed if the sample is obtained from a population that is normally​ distributed, regardless of the sample size is <u>True. </u>
  • The standard error of the mean is divided into​ half, then the sample size must be doubled.

∴ The given statement is true.

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