A random sample of 820 households from a city, Stats

ka1leE

ka1leE

Answered question

2021-09-16

A random sample of 820 households from a city, Stats City, were surveyed. From the statistical technology, we find a 95% confidence interval for the mean number of people in the households was 1.85<μ<3.25
What is the true meaning of the interval presented in the problem about Stats City?

Answer & Explanation

Delorenzoz

Delorenzoz

Skilled2021-09-17Added 91 answers

Step 1
Given,
A random sample of 820 households from a city, Stats City, were surveyed.
From the statistical technology, we find a 95% confidence interval for the mean number of people in the households was 1.85<μ<3.25
Step 2
Interpretation of 95% confidence interval:
We are 95% confident that the interval (1.85, 3.25) contains the true mean number of people in the households
A confidence interval tries to capture the true value of the parameter it's estimating, which in this case is the true mean number of people in the households. The confidence level tells us the long-term capture rate of these intervals over repeated samples.

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