A random sample of 78 ninth grade student's scores on a national mathematics assessment test has a mean score of 264. This test result prompts a state school administrator to declare that the mean score for the state's ninth graders on this exam is more than 280. Assume that the population standard deviation is 32. At alpha= 0.05, is there enough evidence to support the administrator's claim?

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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A random sample of 78 ninth grade student's scores on a national mathematics assessment test
has a mean score of 264. This test result prompts a state school administrator to declare that the
mean score for the state's ninth graders on this exam is more than 280. Assume that the
population standard deviation is 32. At alpha= 0.05, is there enough evidence to support the
administrator's claim?
Transcribed Image Text:A random sample of 78 ninth grade student's scores on a national mathematics assessment test has a mean score of 264. This test result prompts a state school administrator to declare that the mean score for the state's ninth graders on this exam is more than 280. Assume that the population standard deviation is 32. At alpha= 0.05, is there enough evidence to support the administrator's claim?
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