Given the sequence 3, 7, 11, 15, where x = 1, 2, what is the function rule? f(x) = 4
f(x)=4x+3
f(x)=3
f(x) = 4x − 1

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.