13) You are told that the mean height of trees around the Physics building is 8 feet tall, with a standard deviation of 1.5 feet. Which is the most appropriate statement you can make, based on this information?
choices:
a) About 68% of the trees are between 6.5 and 9.5 feet tall
b) About 75% of the trees are between 5 and 11 feet tall
c) At least 75% of the trees are between 5 and 11 feet tall
d) At least 75% of the trees are betwwen 6.5 and 9.5 feet tall
Z = (score-mean)/SD
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z scores.
There is a wooden fence around your water treatment plant that measures 6 feet tall and 95 feet long. Your supervisor has instructed you to determine how many square feet of area this fence has on both side so that you can panint it. He tells you not to count the two gates that measure 4 feet wide each because they are goning to be replaced. What is the square footage of this fence?
To determine the most appropriate statement based on the given information, we need to understand what the mean height and standard deviation represent.
The mean height, in this case, refers to the average height of the trees around the Physics building, which is 8 feet tall. This means that if you were to measure the height of every tree and calculate their average, it would be 8 feet.
The standard deviation measures the variability or spread of the tree heights around the mean. In this case, the standard deviation is 1.5 feet. This indicates that the heights of the trees around the Physics building are, on average, 1.5 feet away from the mean height of 8 feet.
Based on this information, the most appropriate statement to make would be as follows:
"The average height of the trees around the Physics building is 8 feet, with a margin of variability of approximately 1.5 feet."
Alternatively, you could also say:
"The majority of trees around the Physics building have heights that range from approximately 6.5 feet to 9.5 feet, with the average height being 8 feet."
These statements reflect the mean height and standard deviation provided and provide an understanding of the range of tree heights around the Physics building.