An argonomist measured the heights of n corn plants. The mean height was 220 cm, and the standard deviation was 15 cm. Calculate the standard error of the mean for a sample size of 100.

The standard error of the mean for a sample size of 100 is 1.5.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation, which is also called standard error,

In this problem, we have that:

Calculate the standard error of the mean for a sample size of 100.

This is s when n = 100. So

The standard error of the mean for a sample size of 100 is 1.5.

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