At a peanut plant, a 3oz bag of unshelled peanuts should contain 105 peanuts. The machine that fills the bags counts the peanuts as they are put into the bag. The machine has a tolerance of 3 peanuts over or under the goal of 105. Fill in the parts of the absolute value that are missing to make an equation for the scenario given. |p - |=

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)?