You are a teacher and need to order supplies for your classroom. your principal gives you the expression 50n+15f+25p+20m that represents the cost in dollars, to purchase n cases of construction paper, f packages of pocket folders, p packs of pens, and m packs of markers. which statement below is not true?

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.