The “fill” problem is important in many industries, such as those making cereal, toothpaste, beer, and so on. if an industry claims that it is selling 12 ounces of its product in a container, it must have a mean greater than 12 ounces, or else the fda will crack down, although the fda will allow a very small percentage of the containers to have less than 12 ounces. (a) if the content x of a container has a n(12.1, σ2) distribution, find σ so that p(x < 12) = 0.01. (b) if σ = 0.05, find μ so that p(x < 12) = 0.01.

Susan is paying $0.30 per $100 on her $483,000 home in homeowners insurance annually. if her annual homeowners insurance premium is divided into twelve equal monthly installments to be included on each of her monthly mortgage payments of $2,128.00, what is her total monthly payment?

Which two angles in the figure are adjacent angles?

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)?