Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a mean of 35 minutes. A random sample of 20 high school seniors took an average of 33.1 minutes to complete this test with a standard deviation of 4.3 minutes. Test the hypothesis verifying that, at the 0.05 level of significance, that completion time is at least 35 minutes. What is the relevant limit of the critical region?

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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Past experience indicates that the time required for high school seniors to complete a
standardized test is a normal random variable with a mean of 35 minutes. A random sample of
20 high school seniors took an average of 33.1 minutes to complete this test with a standard
deviation of 4.3 minutes. Test the hypothesis verifying that, at the 0.05 level of significance, that
completion time is at least 35 minutes.
What is the relevant limit of the critical region?
Transcribed Image Text:Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a mean of 35 minutes. A random sample of 20 high school seniors took an average of 33.1 minutes to complete this test with a standard deviation of 4.3 minutes. Test the hypothesis verifying that, at the 0.05 level of significance, that completion time is at least 35 minutes. What is the relevant limit of the critical region?
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