Carter Norris
08/04/2024 · Elementary School
Part 2 of 4 (b) Find the \( 95 \% \) confidence interval of the mean number of jobs. Round intermediate and final answers to one decimal place.
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Step-by-step Solution
To find the 95% confidence interval for the mean number of jobs, we typically use the formula:
\[
\text{Confidence Interval} = \bar{x} \pm z \left( \frac{s}{\sqrt{n}} \right)
\]
where:
- \(\bar{x}\) is the sample mean,
- \(z\) is the z-score corresponding to the desired confidence level (for 95%, \(z \approx 1.96\)),
- \(s\) is the sample standard deviation,
- \(n\) is the sample size.
To proceed, I need the following information:
1. The sample mean (\(\bar{x}\)).
2. The sample standard deviation (\(s\)).
3. The sample size (\(n\)).
Please provide these values so I can calculate the confidence interval for you.
Quick Answer
To find the 95% confidence interval for the mean number of jobs, use the formula: \(\bar{x} \pm z \left( \frac{s}{\sqrt{n}} \right)\), where \(\bar{x}\) is the sample mean, \(z\) is about 1.96 for 95% confidence, \(s\) is the sample standard deviation, and \(n\) is the sample size.
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