In a downhill ski race, surprisingly, little advantage is gained by getting a running start. (this is because the initial kinetic energy is small compared with the gain in gravitational potential energy on even small hills.) to demonstrate this, find the final speed and the time taken for a skier who skis 70.0 m along a 30o slope neglecting friction: (a) starting from rest. (b) starting with an initial speed of 2.50 m/s. (c) does the answer surprise you

Which is cheaper: eating out or dining in? the mean cost of a flank steak, broccoli, and rice bought at the grocery store is $13.04 (money.msn website, november 7, 2012). a sample of 100 neighborhood restaurants showed a mean price of $12.75 and a standard deviation of $2 for a comparable restaurant meal. a. develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean cost of a restaurant meal is less than fixing a comparable meal at home. b. using the sample from the 100 restaurants, what is the p-value? c. at a = .05, what is your conclusion? d. repeat the preceding hypothesis test using the critical value approach