Fat grams a cup of milk contains 7.5 grams of fat. (a) give a formula for that calculates the number of fat grams in x cups of milk. (b) what is the slope of the graph of f(x) ? (c) interpret the slope as a rate of change.

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.