(06.02) What are the solutions to the following system of equations? Select the correct answer below.

y = x2 − 4x + 8
4x + y = 12 (5 points)

(2, 20) and (−2, 4)
(2, 4) and (−2, 20)
(−2, 2) and (4, 20)
(20, −2) and (4, 2)

Arandom sample of n = 25 observations is taken from a n(µ, σ ) population. a 95% confidence interval for µ was calculated to be (42.16, 57.84). the researcher feels that this interval is too wide. you want to reduce the interval to a width at most 12 units. a) for a confidence level of 95%, calculate the smallest sample size needed. b) for a sample size fixed at n = 25, calculate the largest confidence level 100(1 − α)% needed.