A researcher wants to know the average height of trees in a

A researcher wants to know the average height of trees in a plot of land. The researcher randomly samples 18 trees, and finds that the average height is 4.3 meters with a standard deviation of 0.37 meters. Assume that the distribution of the heights of these trees are not strongly skewed and do not have any outliers. The researcher finds a 90% confidence interval for this sample is (4.148, 4.452).

Select all that apply.

Select one or more:

The margin of error is 0.152.

We believe that the true mean height of the trees is between 4.148 and 4.452 meters.

The margin of error is 0.150.

The margin of error is 0.194.

The margin of error is 0.192.

If we take many other samples from this population, 90% of them will have a sample mean that is between 4.148 and 4.452.

If we took another sample of 18 trees, the sample mean would definitely be between 4.148 and 4.452 meters.

There is a 90% chance that the true mean is 4.3 meters.

Solution

The correct answers are

The margin of error is 0.152.

(If you take 4.3 and subtract 4.148 or take 4.452 and subtract 4.3 you get 0.152 the MOE)

and

We believe that the true mean height of the trees is between 4.148 and 4.452 meters.