Which of the following are true? Select one or more: a. The standard deviation of the sample mean will be larger than the population standard deviation. b. The standard deviation of the sample mean will be the same as the population standard deviation. c. The standard deviation of the sample mean will be smaller than the population standard deviation. d. There is no way to tell how the standard deviation of the sample mean will compare to the population standard deviation.

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Mathematics

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3 December, 05:25

Which of the following are true? Select one or more: a. The standard deviation of the sample mean will be larger than the population standard deviation. b. The standard deviation of the sample mean will be the same as the population standard deviation. c. The standard deviation of the sample mean will be smaller than the population standard deviation. d. There is no way to tell how the standard deviation of the sample mean will compare to the population standard deviation.

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Aditya · Answer 1

C. The standard deviation of the sample mean will be smaller than the population standard deviation.

Step-by-step explanation: Standard deviation is described as the square root variance, it is a Mathematical and statistical analysis tool used to understand the variation of treatments or values around the Mean.

The higher the Population the more the chances for deviation from the Mean, samples are always less than the entire population so the chances for variations will be less with sample than with the population.