Asked by Bryan Flores on Jul 06, 2024

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The average monthly electric bill of a random sample of 256 residents of a city is $111 with a standard deviation of $32.

a.
Construct a 90% confidence interval for the mean monthly electric bills of all residents.
b.
Construct a 95% confidence interval for the mean monthly electric bills of all residents.

Confidence Interval

A range of values, derived from sample data, that is likely to include the value of an unknown population parameter.

Standard Deviation

A statistic that measures the dispersion or variability of a dataset relative to its mean, indicating how spread out the data points are.

  • Learn how to execute the construction of a confidence interval for a population mean.
  • Absorb the essential principles of standard error and margin of error.
  • Understand the differences between confidence intervals at different confidence levels.
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ZK
Zybrea KnightJul 07, 2024
Final Answer :

a.
$107.71 to $114.29
b.
$107.08 to $114.92