high school athletic director is asked if basketball players are doing as well academically as the other student athletes at his school. It was known from previous records that the average grade for the student athletes is 77.50%. after an initiative to help improve the GPA of student athletes, the athletic director samples 20 basketball players and obtains the following grades: 80, 82, 77, 79, 83, 75, 84, 80, 78, 79, 80, 82, 81, 79, 77, 80, 82, 79, 85, 76. Is there a significant improvement? Perform a hypothesis test at the 0.05 level of significance.

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A high school athletic director is asked if basketball players are doing as well academically as the other student athletes at his school. It was known from previous records that the average grade for the student athletes is 77.50%. after an initiative to help improve the GPA of student athletes, the athletic director samples 20 basketball players and obtains the following grades: 80, 82, 77, 79, 83, 75, 84, 80, 78, 79, 80, 82, 81, 79, 77, 80, 82, 79, 85, 76. Is there a significant improvement? Perform a hypothesis test at the 0.05 level of significance. 

4. A high school athletic director is asked if basketball players are doing as well
academically as the other student athletes at his school. It was known from previous
records that the average grade for the student athletes is 77.50%. after an initiative to
help improve the GPA of student athletes, the athletic director samples 20 basketball
players and obtains the following grades: 80, 82, 77, 79, 83, 75, 84, 80, 78, 79, 80, 82,
81, 79, 77, 80, 82, 79, 85, 76. Is there a significant improvement? Perform a hypothesis
test at the 0.05 level of significance.
Transcribed Image Text:4. A high school athletic director is asked if basketball players are doing as well academically as the other student athletes at his school. It was known from previous records that the average grade for the student athletes is 77.50%. after an initiative to help improve the GPA of student athletes, the athletic director samples 20 basketball players and obtains the following grades: 80, 82, 77, 79, 83, 75, 84, 80, 78, 79, 80, 82, 81, 79, 77, 80, 82, 79, 85, 76. Is there a significant improvement? Perform a hypothesis test at the 0.05 level of significance.
4. A high school athletic director is asked if basketball players are doing as well
academically as the other student athletes at his school. It was known from previous
records that the average grade for the student athletes is 77.50%. after an initiative to
help improve the GPA of student athletes, the athletic director samples 20 basketball
players and obtains the following grades: 80, 82, 77, 79, 83, 75, 84, 80, 78, 79, 80, 82,
81, 79, 77, 80, 82, 79, 85, 76. Is there a significant improvement? Perform a hypothesis
test at the 0.05 level of significance.
Transcribed Image Text:4. A high school athletic director is asked if basketball players are doing as well academically as the other student athletes at his school. It was known from previous records that the average grade for the student athletes is 77.50%. after an initiative to help improve the GPA of student athletes, the athletic director samples 20 basketball players and obtains the following grades: 80, 82, 77, 79, 83, 75, 84, 80, 78, 79, 80, 82, 81, 79, 77, 80, 82, 79, 85, 76. Is there a significant improvement? Perform a hypothesis test at the 0.05 level of significance.
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