# Question: Scores on a particular test taken by a large group

Scores on a particular test, taken by a large group of students, follow a normal distribution with a standard deviation of 40 points. A random sample of 16 scores was taken to estimate the population mean score. Let the random variable x-bar denote the sample mean. What is the probability that the interval (x-bar – 10) to (x-bar + 10) contains the true population mean?

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