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swat32
3 years ago
9

Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence i

nterval of when estimating the mean height​ (in centimeters) of a sample of seedlings. The estimated margin of error is nothing. The sample mean is nothing.
Mathematics
1 answer:
mash [69]3 years ago
4 0

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  E = 0.7

The  sample mean is  \=  x  =  4.2

Step-by-step explanation:

from the question we are told that

   The  upper limit is  k  =  4.9

    The  lower limit is  r = 3.5

Generally the margin of error is mathematically represented as

      E =  \frac{k - r}{ 2}

      E = \frac{ 4.9  -  3.5 }{2}

     E = 0.7

Generally the sample mean is mathematically evaluated as

        \=  x = k  -  E

=>    \= x  =  4.9 - 0.7

=>    \=  x  =  4.2

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