Choose the name of the linear equations form given: 1) y = -5x + 1 2) y = x -9.75 3) 2x = 7 choices are: -standard form -slope intercept form -not a linear equation -none of the above

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.