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

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 ).