suppose that resting pulse rates for healthy adults are found to follow a normal distribution, with a mean of 69 beats per minute and a standard deviation of 9.5 beats per minutes. if bonnie has a pulse rate of 78.5 beats per minute, this means that

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Approximately 16% of adults have pulse rates higher than Bonnie's. His standardized score is 0.995.

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.

Normal dist: Mu = 69 bps, stdev = 9.5 bps

P(X = 78.5) = P(Z = 78.5-69 / 9.5) = P(Z = 1)

If Bonnie has a pulse rate of 78.5 beats per minute then Bonnie has a standardized pulse rate of 1 standard deviation. or in other terms his pulse rate are greater than 84% of pulse rates

Bonnie's pulse rate, when converted to a standard score, would be 1.5. It means Boonie has a pulse rate

of 69 + 1.5*9.5 = 83.25 bps. or a heart beat greater than 93.32% of the people

Bonnie's pulse rate is two standard deviations above the mean. It means that his pulse rate of 2 deviations above mean is greater than 97.5% of pulse rates

Approximately 32% of adults have pulse rates higher than Bonnie's. Then the standardized score of Boonie' heart beat is 0.47

Approximately 16% of adults have pulse rates higher than Bonnie's. His standardized score is 0.995

Learn more about standard error

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