1. Decide whether the statement below is true or false. Then fully explain why. The triangle below can b used to help with your explanation if needed. "The sine of any acute angle is equal to the cosine of its complementary angle."[help me plzz!!]​

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.