The graphs of f(x) = -10% - 1 and g(x) = 2* are shown. Create a new function h(x) by reflecting fix) over the x-axis. How many times do the graphs of h(x) and g(x) intersect?

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.