Five years ago, the average math SAT score for students at one school was 475. A teacher wants to perform a hypothesis test to determine whether the mean math SAT score of students at the school has increased. The mean math SAT score for a random sample of 50 students from this school is 489 with a sample standard deviation of 53. At the 0.05 significance level, do the data provide sufficient evidence to support the claim that the mean math SAT score for students at the school has increased from the previous mean of 475?.

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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 Five years ago, the average math SAT score for students at one school was 475. A teacher wants to perform a hypothesis test to determine whether the mean math SAT score of students at the school has increased. The mean math SAT score for a random sample of 50 students from this school is 489 with a sample standard deviation of 53. At the 0.05 significance level, do the data provide sufficient evidence to support the claim that the mean math SAT score for students at the school has increased from the previous mean of 475?.

 

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