Let x stand for the number of minutes spent waiting in line for a rollercoaster at an amusement park. 81 people are sampled at a time. The sample mean is 18 minutes and the sample standard deviation is 0.5 minutes. What is the standard deviation of the population?

The standard deviation of the population is 4.5 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation of the population , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .

In this question:

So

The standard deviation of the population is 4.5 minutes.

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step-by-2step explanation: