A researcher would like to determine whether an over-the-couter cold medication has an effect on mental alertness.  A sample of n=16 participants is obtained, and each person is given a standard dose of the medication on hour before being tested in a driving simulation task. For the general population, scores on the simulation tasks are normally distributed with μ=56 and σ=16. The individuals in the sample had an average score of M=48.   Can the researcher conclude that scores on the driving simulation task are significantly different after taking the medication? Use a two-tailed test with a=.05. Show all four steps in the hypothesis testing process and respond in writinng to the question.  Include hypotheses, critical  values, computed statistics, and whether you reject or fail the null hypothesis in your reponse.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
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A researcher would like to determine whether an over-the-couter cold medication has an effect on mental alertness.  A sample of n=16 participants is obtained, and each person is given a standard dose of the medication on hour before being tested in a driving simulation task. For the general population, scores on the simulation tasks are normally distributed with μ=56 and σ=16. The individuals in the sample had an average score of M=48.  

Can the researcher conclude that scores on the driving simulation task are significantly different after taking the medication? Use a two-tailed test with a=.05.

Show all four steps in the hypothesis testing process and respond in writinng to the question.  Include hypotheses, critical  values, computed statistics, and whether you reject or fail the null hypothesis in your reponse. 

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