Apainting is purchased for $350. if the value of the painting doubles every 5 years, then its value is given by the function v(t) = 350 ⋅ 2t/5, where t is the number of years since it was purchased and v(t) is its value (in dollars) at that time. what is the value of the painting ten years after its purchase?

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.