The standard deviation of the average age of a breed of dog is said to be 3.69.
<h3>What is the standard deviation about?</h3>
Note that we take:
- x = dog age has mean 19.5
- Unknown standard deviation.
Hence:
z = (x - mean) /SD is distributed N (0,1) - mean o standard deviation 1 (standard normal)
Since 20% of dogs are known to be older than 22.6 years:
So 22.6 years is said to be 80th percentile,
Since z matching to 80th percentile (using the standard normal table) s is <em>0.84.</em>
Then one need to plug z, x which is = 22.6
mean = 19.5 into the stated z equation:
Hence,
0.84 = (22.6 - 19.5)/SD
SD = (22.6 - 19.5)/0.84
= 3.69
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Based on the information given the length of one side of the hot tub is 4. 8 ft.
<h3 /><h3>Length:</h3>
Using this formula
Length=B prime C prime length/Scale factor
Where:
B prime C prime length=24 feet
Scale Factor=5
Let plug in the formula
Length=24ft/5
Length=4.8ft
Inconclusion the length of one side of the hot tub is 4. 8 ft.
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