A triangular plot of land has one side along a straight road measuring 183 feet. A second side makes a 68° angle with the road, and the third side makes a 31° angle with the road. How long are the other two sides? The longer side of the triangular plot is feet. The shorter side of the triangular plot is feet. (Round to the nearest hundredth as needed.)

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.