The average speed of a volleyball serve is 58 miles per hour. Natalie practiced a new technique to improve her serving speed. Her coach recorded the speed of 41 random serves during practice and found that her average speed using the new technique was 59 miles per hour, with a standard deviation of 2.7 miles per hour. Part A: State the correct hypotheses if Natalie is trying to prove the new technique is an improvement over the old technique. Part B: Identify the correct test and check the appropriate conditions. Part C: Carry out the test and determine if there is sufficient evidence at the 0.05 level that Natalie's technique has improved her serve speed.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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The average speed of a volleyball serve is 58 miles per hour. Natalie practiced a new technique to improve her serving speed. Her coach recorded the speed of 41 random serves during practice and found that her
average speed using the new technique was 59 miles per hour, with a standard deviation of 2.7 miles per hour.
Part A: State the correct hypotheses if Natalie is trying to prove the new technique is an improvement over the old technique.
Part B: Identify the correct test and check the appropriate conditions.
Part C: Carry out the test and determine if there is sufficient evidence at the 0.05 level that Natalie's technique has improved her serve speed.
Transcribed Image Text:The average speed of a volleyball serve is 58 miles per hour. Natalie practiced a new technique to improve her serving speed. Her coach recorded the speed of 41 random serves during practice and found that her average speed using the new technique was 59 miles per hour, with a standard deviation of 2.7 miles per hour. Part A: State the correct hypotheses if Natalie is trying to prove the new technique is an improvement over the old technique. Part B: Identify the correct test and check the appropriate conditions. Part C: Carry out the test and determine if there is sufficient evidence at the 0.05 level that Natalie's technique has improved her serve speed.
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