Final answer:
If you selected 200 samples to construct a 0.95 confidence interval estimate for the population mean, you should expect that 190 of these intervals would contain the true population mean, according to the definition of a 95% confidence level.
Step-by-step explanation:
The subject of this question is statistics, a branch of mathematics. Specifically, it deals with the concept of confidence intervals and their interpretation. If you construct a 0.95 confidence interval estimate for the population mean from different samples, this implies that you are 95% confident that the interval contains the true population mean. Therefore, if you selected 200 different samples and used each to construct a 0.95 confidence interval estimate for the population mean, you should expect that 95% of these intervals will contain the population mean. In this case, 95% of 200 is 190. So, the correct answer is (a) 190. It's important to note that the 95% confidence level does not guarantee that any particular interval contains the mean; rather, it pertains to the method's long-term performance over many confidence intervals.