F(x) =x^2(x-3)(x+1)(x+5) has zeros at x=-5, x=-1, x=0, and x=3. What is the sign of f on the interval 0<x<3? a. f is sometimes positive and sometimes negative on the interval
b. f is always positive on the interval
c. f is neither positive nor negative on the interval
d. f is always negative on the interval

thank you!!

Abottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. the water bottling company’s specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon a. construct a 99% confidence interval estimate for the popula-tion mean amount of water included in a 1-gallon bottle. b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? why? c. must you assume that the population amount of water per bottle is normally distributed here? explain. d. construct a 95% confidence interval estimate. how does this change your answer to (b)?