Suppose that circles a and b have a central angle measuring 40°. additionally, circle a has a radius of 5 2 ft and the radius of circle b is 9 2 ft. if the measure of the sector for circle a is 25 36 π ft2, what is the measure of the sector for circle b?

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.