Question

Suppose that a travel bureau claims that the trees in a forest are 85 feet tall on average, with a standard deviation of 0.2 feet. If you took a sample of 64 trees, which of the following mean heights would be outside the 95% confidence interval?

Answer 1

84.4 % is the answer

Answer 2

Answer:

Step-by-step explanation:

It is given that Suppose that a travel bureau claims that the trees in a forest are 85 feet tall on average, with a standard deviation of 0.2 feet.

Here, Mean=85, Standard deviation=0.2, Sample=64.

Now, using the confidence interval as 95%, then z=1.96.

Thus, Margin error is given as:

$ME=\frac{1.96{\times}0.2}{\sqrt{64}}=\frac{0.392}{8}$

$ME=0.049$

Therefore, confidence interval: $85-0.048$

that is: $84.95$

Mean heights outside the confidence interval will be:

$x\leq84.95$ and $x\geq85.049$.