Asimple random sample of 10 households, the number of tv's that each household had is as follows: 1 , 3 , 4 , 3 , 3 , 4 , 2 , 4 , 2 , 1 assume that it is reasonable to believe that the population is approximately normal and the population standard deviation is 0.40 . what is the lower bound of the 95% confidence interval for the mean number of tv's?

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.

Astick 2 m long is placed vertically at point b. the top of the stick is in line with the top of a tree as seen from point a, which is 3 m from the stick and 30 m from the tree. how tall is the tree?

What is the image of c for a 90° counterclockwise rotation about a? (3, 7) (-1, 3) (7, 3)