The following 96% confidence interval based on a sample of 32 students was forme

Question

The following 96% confidence interval based on a sample of 32 students was formed to estimate the population mean time that students will require to complete a particular examination: 62.4 ± 12.6 minutes. Which one of the following interpretations is correct for this confidence interval?

We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes We are 96% confident that the sample mean time (62.4 minutes) equals the true mean time We are 96% confident that the population mean time required by students who take this test is 62.4 minutes We are 96% confident that the sample mean time (62.4 minutes) is correct We are 4% confident that an individual student taking this test will require less than 49.8 minutes or more than 75.0 minutes

Explanation / Answer

The confidence level (96% in the problem) is the percentage of confidence intervals which contain the true value of population mean on repeated sampling.

The correct answer is :

We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes.

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