Complete Question
A biologist reports a confidence interval of (3.5,4.9) when estimating the mean height (in centimeters) of a sample of seedlings. What is the estimated margin of error and the sample mean?
Answer:
The margin of error is [tex]E = 0.7[/tex]
The sample mean is [tex]\= x = 4.2[/tex]
Step-by-step explanation:
from the question we are told that
The upper limit is [tex]k = 4.9[/tex]
The lower limit is [tex]r = 3.5[/tex]
Generally the margin of error is mathematically represented as
[tex]E = \frac{k - r}{ 2}[/tex]
[tex]E = \frac{ 4.9 - 3.5 }{2}[/tex]
[tex]E = 0.7[/tex]
Generally the sample mean is mathematically evaluated as
[tex]\= x = k - E[/tex]
=> [tex]\= x = 4.9 - 0.7[/tex]
=> [tex]\= x = 4.2[/tex]
