Amy is getting in shape shape for track season. her coach suggests running a certain number of kilometers each week. amy runs laps around a lake near her house to reach this goal.
here’s a formula for this scenario.
n = k/d
where
k=total number of kilos
d=distance around the lake
n=number of laps any runs around the lake

rewrite the formula to determine the distance around the lake

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.