Under what circumstances is a t statistic used instead of a z-score for a hypothesis test? Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96.Determine the critical region using a one-tailed test with alpha = .05.Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values).State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0).Based on your analysis, is there a relationship between the drug and attention span?

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Description: Under what circumstances is a t statistic used instead of a z-score for a hypothesis test? Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the m

Solution: In a hypothesis test, if the value of population standard deviation is not known, then a t…

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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Under what circumstances is a t statistic used instead of a z-score for a hypothesis test?

Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σ_x , so he calculated s²_x =1.96.
Determine the critical region using a one-tailed test with alpha = .05.
Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values).
State your conclusions in terms of H₀(Should you reject the H₀ or fail to reject/accept the H₀).
Based on your analysis, is there a relationship between the drug and attention span?

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