Suppose that a travel bureau claims that the trees in a forest are 83 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?

a. 83.2 feet
b. 83.4 feet
c. 83.6 feet
d. 82.8 feet

Explanation:

Given mean = 84,

Standard deviation = 2,

Sample 64,  

95% confidence interval: z = 1.96

Applying empirical rule , means that 95% of data fall within two standard deviations.

ME = = 0.49

Rounding this to 0.5

CI =  83.5< mean < 84.5

Outside of this range=  x ≤ 83.5  and ≥  84.5

the answer is 375 miles

step-by-step explanation:

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh