An investigator wanted to construct a 97% confidence interval estimate for the mean of a given population. He took a simple random sample of size n, as indicated above, and constructed a confidence interval of (-9.3, 15.3) according to the methods indicated in class. What was the (approximate) probability that the investigator's procedure would produce an interval that would capture/surround the mean of the given population

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Mathematics

Allisson Reilly

31 December, 13:13

An investigator wanted to construct a 97% confidence interval estimate for the mean of a given population. He took a simple random sample of size n, as indicated above, and constructed a confidence interval of (-9.3, 15.3) according to the methods indicated in class. What was the (approximate) probability that the investigator's procedure would produce an interval that would capture/surround the mean of the given population

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Alena Mueller · Answer 1

The (approximate) probability that the investigator's procedure would produce an interval that would capture/surround the mean of the given population is 0.97

Step-by-step explanation:

97% confidence interval means that there is 97% chance that the true mean value of the population is within the range (-9.3, 15.3).

Confidence level (97%) is an indicator of your measurement's precision and tells you how sure you can be. In other words, if you repeat the process, it tells you how much percentage you get a result which falls in the estimated interval (-9.3, 15.3).