Priya bought two plants for a science experiment. when she brought them home, the first plant was 5cm tall and the second plant was 4cm. since then, the first plant has grown 0.5 cm a week and the second plant has grown 0.75 cm a week.

a. which plant is taller at the end of 2 weeks? explain your reasoning.

b. which plant is taller at the end of 10 weeks? explain your reasoning.

c. priya represents this situation with the equation 5 + 0.5w = 4 + 0.75w, where w represents the end of week w. what does the solution to this equation, w = 4 represent in this situation?

d. what does the solution to the inequality 5 + 0.5w > 4 + 0.75w represent in this situation?

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)?