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azamat
2 years ago
8

Data from a sample of 576 people in a city was used to estimate the mean monthly bill

Mathematics
1 answer:
stiv31 [10]2 years ago
3 0

Using the z-distribution, it is found that the margin of error for a 95% confidence interval is of $0.04.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the sample.

The margin of error is given by:

M = z\frac{\sigma}{\sqrt{n}}

In this problem, the values of the parameters are:

z = 1.96, \sigma = 0.48, n = 576.

Hence, the <em>margin of error</em>, in dollars, is given by:

M = z\frac{\sigma}{\sqrt{n}}

M = 1.96\frac{0.48}{\sqrt{576}}

M = 0.04.

More can be learned about the z-distribution at brainly.com/question/25890103

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