In 2016, the Honors College at a large state university claimed that the average GPA of its graduating students is 3.80. Later that year, a new service-learning requirement was added to the graduation requirements, despite student claims that this additional requirement would take away from the time devoted to their studies and likely lower their GPAs. Last month, the dean of the Honors College randomly selected 10 graduating students and recorded their GPAs. His recorded data is as follows:   3.85 3.95 4.00 3.61 3.83 3.73 3.69 3.81 3.73 3.78   Using the appropriate six-step non-parametric testing procedure, is there sufficient evidence at the α = 0.05 significance level to conclude that average GPA of graduating students has decreased since the service-learning requirement was added?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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In 2016, the Honors College at a large state university claimed that the average GPA of its graduating students is 3.80. Later that year, a new service-learning requirement was added to the graduation requirements, despite student claims that this additional requirement would take away from the time devoted to their studies and likely lower their GPAs. Last month, the dean of the Honors College randomly selected 10 graduating students and recorded their GPAs. His recorded data is as follows:

 

3.85 3.95 4.00 3.61 3.83 3.73 3.69 3.81 3.73 3.78

 

Using the appropriate six-step non-parametric testing procedure, is there sufficient evidence at the α = 0.05 significance level to conclude that average GPA of graduating students has decreased since the service-learning requirement was added?

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