A99% confidence interval (in inches) for the mean height of a population is 65.7 < μ < 67.3. this result is based on a sample of size 144. construct the 95% confidence interval.
a) 66.0 in < μ < 67.0 in.
b) 65.7 in < μ < 67.3 in.
c) 65.6 in < μ < 67.4 in.
d) 65.9 in < μ < 67.1 in.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.