A researcher would like to determine whether an over-the-counter 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 one hour before being tested in a driving simulation task. For the general population, scores on the simulation task are normally distributed with μ = 60 and σ = 8. The average score in the sample was M = 63.   Can the researcher conclude that scores on the driving simulation task are significantly different after taking the medication? Use a two-tailed test with α = .05. Show your work.   State the null & alternative hypotheses. _________________   Calculate the standard error  ________ & test statistic (z) : ___________                      What critical z value will you compare this with? _________       Make a decision on your hypotheses : _________________________________

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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A researcher would like to determine whether an over-the-counter 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 one hour before being tested in a driving simulation task. For the general population, scores on the simulation task are normally distributed with μ = 60 and σ = 8. The average score in the sample was M = 63.

 

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

 

State the null & alternative hypotheses. _________________

 

Calculate the standard error  ________ & test statistic (z) : ___________               

 

 

 

What critical z value will you compare this with? _________

 

 

 

Make a decision on your hypotheses : _________________________________

 

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