250 employees in an organization were surveyed, and the following data was collected about their hair color and height: hair color height less than 175 cm 175-180 cm above 180 cm total black 38 32 30 100 brown 27 24 19 70 blonde 21 33 26 80 total 86 89 75 250 which inference can be made from this two-way table? a. being above 180 centimeters and having black hair are independent of each other. b. being above 180 centimeters is dependent on having black hair. c. having black hair is dependent on being above 180 centimeters. d. being above 180 centimeters and having black hair are the same.

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)?