Question

**What are the fundamental components of a confidence
interval?**

Answer #1

Solution :

The fundamental components of a confidence interval are as follows :

1) Point estimate of the parameter for which we want to construct the confidence interval.

2) Confidence level of confidence interval

3) The margin of error at the specified confidence interval.

For example, suppose we want to construct a 95% confidence interval for population mean (μ), then the confidence interval would be as follows (σ known) :

Where, x̄ is point estimate of population mean, E is margin of error at 95% confidence level.

(σ is population standard deviation, n is sample size and Z(0.05/2) is critical z-value at 95% confidence level.)

What is a point estimate? What is an
interval estimate? What is a confidence interval? ; What does it
mean to say that we have 95% confidence in an interval?

Is confidence interval and unbiased confidence
interval same thing? if not then what is the basic difference
between them? tell me in details please. thank you.

Suppose you compute a 99% confidence interval. What will happen
to the confidence interval if you decrease the confidence level to
95%?

what id a confidence interval

A. which confidence interval is wider? The 95%
confidence interval or the 99% confidence interval?
difference for both confidence intervals: 0.109
95% CI for difference: (-0.123, 0.340)
99% CI for difference: (-0.199, 0.416)
B. Given an arbitrary data set, is there a general
relationship between confidence level and the width of the
confidence interval? Explain.
Please make the answers to parts A and B detailed and easy to
read and follow, thank you :)

what is a plus four confidence interval?

what happens to the prediction interval and the confidence
interval when SSE=0

What effect does increasing the confidence level have on a
confidence interval?
I know that increasing the confidence level increases the error
bound, making the confidence interval wider. Decreasing the
confidence level decreases the error bound, making the confidence
interval narrower, but why?

- Sampling variation and the standard error
- Confidence interval for the meanInterpretation of confidence
interval Smaller samples
- Confidence interval using t distribution
can any one help me with those topics in biostat i have
finals and im struggling just a breif summary about what important
in them to know

Which of the following is correct for confidence interval?
As the sample size decreases, confidence interval gets
narrower.
As the confidence level increases, confidence interval gets
broader.
As the sample size increases, confidence interval gets
broader.
As the confidence level increases, confidence interval gets
narrower.

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