The number of calories in a serving of oatmeal is proportional to the size of the serving. Suppose there are 160 calories in a 40 gram of serving. Write an equation that models the relationship between the number of calories "c" and the size "s" of a serving of oatmeal.

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.