Students in a class were asked how many hours a week they studied. Their answers are given below: 0, 5, 1, 2, 4, 0, 1, 3, 2, 2, 0, 1, 5, 3, 4, 4, 2, 1, 6 What is the population mean of the number of hours they studied? Explain how you arrived at your answer and round to the nearest tenth.

There is a line with slope 1/a going through the point (a, a²). find the equation of the line perpendicular to this line at this point. (don’t let this problem intimidate you! solve the problem as you would if i’d given you specific values. just use variables instead.)

1foot = 12 inches; 1 yard = 3 feet

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.