Asked by Simon Sazian on May 02, 2024

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A random sample of 100 credit sales in a department store showed an average sale of $120.00.From past data, it is known that the standard deviation of the population is $40.00.
a.
Determine the standard error of the mean.
b.
With a .95 probability, determine the margin of error.
c.
What is the 95% confidence interval of the population mean?

Standard Error

The standard deviation of the sampling distribution of a statistic, often used to measure the precision of a sample mean.

Margin of Error

A statistic expressing the amount of random sampling error in a survey's results, indicating a range within which the true population parameter is likely to lie.

Confidence Interval

A set of values obtained from sample data, which is expected to encompass the value of an unspecified population parameter.

  • Understand thoroughly how to compute a confidence interval for a population mean.
  • Familiarize yourself with the ideas of standard error and margin of error.
  • Apprehend the fundamentals of the standard error of the mean.
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ZK
Zybrea KnightMay 08, 2024
Final Answer :

a.
4
b.
7.84
c.
$112.16 to $127.84