Working with data values that have nonnormal distributions, a researcher cites the central limit theory to claim that the sample mean follows a normal distribution. The researcher repeats a study multiple times, computing a point estimate of the mean and (1−α)% confidence interval (CI) each time. Which of the following is true of the CIs for this application? At least (1−α)% of the CIs will contain the mean Exactly (1−α)% of the CIs will contain the mean insufficient information Exactly (1−α)% of the CIs will contain the sample mean At least (1−α)% of the CIs will contain the sample mean

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Benedict · Accepted Answer

Step 1  The confidence interval gives the possible range that the population parameter falls in the study. The confidence interval can be interpreted as, when repeated samples are taken of required sample size, (1−α)% of confidence intervals would contain the population parameter within the constructed interval. That is, there would be (1−α)% that the population parameter lies within the interval.  Step 2 Thus, there would be (1−α)% certain that CIs will contain the population mean.  Correct answer: Exactly (1−α)% of the CIs will contain the mean

Working with data values that have nonnormal distributions, a researcher cites t

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