An environmental group conduct a tudy to meaure energy conumption in a large metropolitan city a meaured by the amount of gaoline purchaed. In a random ample of 17 vehicle owner on a particular day, they calculated a mean of 13. 62 gallon and a tandard deviation of 4. 68 gallon. What i the tandard error of the ample mean?

Respuesta :

The random sample study's standard error, which measures the energy usage in a major metropolis, is 0.275.

How is the standard error calculated?

  • The standard deviation among the sample means is typically the standard error of a sampling distribution.
  • It fluctuates inversely with sample size, meaning that as sample size rises, the sampling distribution's standard error falls.

The formula used to compute standard error is as follows:

standard error = standard deviation / √sample size

For  the data given in question-

  • In a random sample of 17 car owners on a given day,
  • the mean fuel consumption was 13.62 gallons, and
  • the standard deviation was 4.68 gallons.

Thus,

Standard error = 4.68 / 17

Standard error  = 0.275

Thus, the standard error for the mean of the sample is found as 0.275.

To know more about the standard error, here

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