Question

What value of z* should be used to construct a 97 confidence interval of a population mean?

Answer 1

The value of z* should be used to construct a 97 confidence interval of a population mean is 2.17.

What is confidence interval?

A degree of uncertainty and certainty in a sample process is measured by confidence intervals. They can choose from a variety of probability limitations, the most frequent becoming a 95% or 99% confidence level.

Some characteristics of confidence interval are-

• Statistical tools, such as the t-test, are used to compute confidence intervals.
• Confidence intervals are used by statisticians to quantify uncertainty in such a sample variable.
• A researcher, for example, may randomly select multiple samples drawn from the same population and compute a confidence interval for every sample to determine how well it might represent the real value of a population variable.
• The generated datasets are all unique; some intervals contain the genuine population parameter while others do not.

Now, according to the question;

The confidence level is given 97%.

Thus, the crucial value of z for a 97% confidence interval is 2.17, as determined by a z score table, which is as follows:

$P(-2.17 < Z < 2.17)=0.97$

Therefore the obtained probability for the z-score of 2.17 is 0.97.

To know more about the confidence interval, here

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