The average speed of a hockey puck slap shot is 74 miles per hour. Monica practiced a new technique to improve her slap shot speed. Her coach recorded the speed of 38 random shots during practice and found that her average speed using the new technique was 75.1 miles per hour, with a standard deviation of 4.2 miles per hour.
Part A: State the correct hypotheses if Monica is trying to prove the new technique is an improvement over the old technique. (2 points)
Part B: Identify the correct test and check the appropriate conditions. (4 points)
Part C: Carry out the test and determine if there is sufficient evidence at the 0.10 level that Monica's technique has improved her slap shot speed. (4 points)