Which of the following statements is false regarding randomization? i)   randomization allows each member of the population to have an equal probability of being selected for the sample population.     ii)   randomization avoid bias.     iii)   randomization protects against unknown factors.     iv)   randomization can be replaced by accurately matching the sample to the population.     v)   randomization allows one to draw inferences about a population through a sample.

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)?