a simple random sample of 64 observations was taken from a large population. the sample mean and the standard deviation were determined to be 640 and 128 respectively. find the standard error of the mean

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15 is the standard error of the mean .

What is standard error?

  • The population mean and sample mean are likely to deviate from one another, and the standard error of the mean, or simply standard error, shows how likely this is.
  • If a study were to be repeated using fresh samples drawn from a single population, it would be possible to calculate how much the sample mean would change.
  • In statistics, the term "standard error" refers to a quantitative measure of variability.
  • It allows for the determination of the standard deviation of a certain sample.
  • It is frequently referred to by its shortened form, SE. The effectiveness, accuracy, and consistency of a sample are estimated using standard error.

Standard error = σ/√n = 120/√64  = 120/8  = 15

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