Starting salaries of 90 college graduates who have taken a statistics course have a mean of $43,993 and a standard deviation of $9,144. Using 99% confidence level, find the following: A. The margin of error E: _______________________________________

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Answer:

The margin of error E for the mean salary of college graduates who have taken a statistics course is $2,4868

Step-by-step explanation:

margin of error (ME) around the mean can be calculated  using the formula

ME=[tex]\frac{z*s}{\sqrt{N} }[/tex] where

  • z is the corresponding statistic in the 99% confidence level(2.58)
  • s is the standard deviation of the sample ($9.144)
  • N is the sample size (90)

Then ME=[tex]\frac{2.58*9.144}{\sqrt{90} }[/tex] ≈ 2,4868

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