Delia is hosting a bbq. she buys a total of 50 burgers and hot dogs for $90. delia pays $2 per burger and $1.50 per hot dog. write a system of linear equations to find the number x of burgers and the number y of hot dogs delia buys. solve the linear system by substitution. -

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.