Suppose that you take 1000simple random samples from a population and that, for each sample, you obtain a 95% confidence interval for an unknown parameter. Approximately how many of those confidence intervals will contain the value of the unknown parameter?

Short Answer

Expert verified

There are approximately 950confidence intervals that will contain the value of the unknown parameter.

Step by step solution

01

Given informataion

The simple random samples are: 1000.

The confidence interval for unknown parameter is:95%.

02

Simplification

We will find the confidence intervals that will contain the unknown parameter's value.

95%of1000=95100×1000=95×10=950.

Therefore, approximately 950confidence intervals are there which will contain the value of the unknown parameter.

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