Kendall and three of his neighbors decide to buy a basketball goal for the neighborhood that was original priced at $285. It is on sale for 20% off, and to pay a 14% tax. If they agree to split the cost evenly, then how much money should each person pay for the basketball goal

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.