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Use an exact normal distribution for plant mean height

The heights of a species of plants follow a normal distribution with mean 21 cm and standard deviation 90\sqrt{90} cm. A random sample of 10 plants is taken and the mean height calculated. Find the probability that this sample mean lies between 18 cm and 27 cm.

CJC · Lecture · Example 5

Square the printed standard deviation before dividing variance by ten.

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