HELP ASAP! PLEASE! 50 POINTS! Since 1970, the number (in thousands) of males M and females F attending institutes of higher education can be modeled by:
M = 0.09t^3 - 4.8t^2 + 110t + 5000 and F = 0.19t^3 - 12t^2 + 350t + 3600
where t is the number of years since 1970. Write a model for the total number of people attending institutes of higher education.

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.