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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