Eric deposits 100 into a savings account at time 0 which pays interest at a nominal rate of i compounded semiannually. mike deposits 200 into a different savings acount at time 0, which pays simple interest at an annual rate of i. eric and mike earn the same amount of interest during the last 6 months of the 8th year. calculate i.

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.