Question

The heights of the same variety of pine tree are also normally distributed. The mean height is μ=33 m, and the standard deviation is σ=3 m. Which normal distribution below best summarizes the data?

a. Not enough information
b. μ=33, σ=3
c. μ=30, σ=2
d. μ=35, σ=4

Answer 1

The normal distribution summarizing the pine tree heights data, with a mean of 33 meters and a standard deviation of 3 meters, is μ=33, σ=3.

Step-by-step explanation:

The correct answer for the question about the normal distribution of pine tree heights, given a mean (μ) of 33 meters and a standard deviation (σ) of 3 meters, would be μ=33, σ=3.

Normal distributions are defined entirely by their mean and standard deviation. The mean (μ) indicates the center of the distribution, while the standard deviation (σ) determines the spread of data around the mean. In this case, the provided mean and standard deviation already summarize the normal distribution for the given pine tree variety, assuming a perfectly normal distribution.