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According to the norms established for a history test, Grade 8 students should have an average of 81.7 with standard deviation of 8.5. If 100 randomly selected grade 8 students from a certain school district average 79.6 in this test, can we conclude that at 0.05 level of significance that Grade 8 students from this school district can be expected to have a different average than the norm of 81.7?

According to the norms established for a history test, Grade 8 students should have an average of 81.7 with standard deviation of 8.5. If 100 randomly selected grade 8 students from a certain school district average 79.6 in this test, can we conclude that at 0.05 level of significance that Grade 8 students from this school district can be expected to have a different average than the norm of 81.7?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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According to the norms established for a history test, Grade 8 students should have an average of 81.7 with standard deviation of 8.5. If 100 randomly selected grade 8 students from a certain school district average 79.6 in this test, can we conclude that at 0.05 level of significance that Grade 8 students from this school district can be expected to have a different average than the norm of 81.7?
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