Question

Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence interval of (4.1.5.3) when estimating the mean height (in centimeters) of a sample of seedlings. The estimated margin of error is The sample mean is

Answer 1

SOLUTION:

From given data,

Use the confidence interval to find the estimated margin of error. Then find the sample mean.

A biologist reports a confidence interval of (4.1,5.3) when estimating the mean height​ (in centimeters) of a sample of seedlings.

The confidence interval of (4.1,5.3)

Find the estimated margin of error:

The estimated margin of error is

Margin of error (E) : (Upper limit - Lower limit )/ 2

Margin of error (E) : (5.3 -4.1 )/ 2

Margin of error (E) : 1.2/ 2

Margin of error (E) : 0.6

Thus,the estimated margin of error is 0.6

Find the sample mean:

The sample mean = (Upper limit + Lower limit) / 2

The sample mean = (5.3+4.1) / 2

The sample mean =9.4 / 2

The sample mean = 4.7

Thus,the sample mean is 4.7

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