The power goes out as sandra is trying to get dressed, if she has 4 white t-shirts and 10 colored t-shirts in her drawer, is it likely that she will pick a colored t-shirt in the dark? what is the probability she will pick a colored t-shirt? explain your answers.

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.