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 m = 60 and s = 8. The individuals in the sample had an average score of M = 56.5. a. Can the researcher conclude that scores on the driving simulation task are significantly different after taking the medication? Conduct the four steps in Hypothesis testing and label each step. Use a two-tailed test with a = .05. Write your decision in the form of a sentence. b. Can the researcher conclude that scores on the driving simulation task are significantly lower after taking the medication? Conduct the four steps in Hypothesis testing and label each step. Use a one-tailed (critical region) test with a = .05. Write your decision in the form of a sentence. c. Compute Cohen’s d to measure the size of the effect.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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
a. Can the researcher conclude that scores on the driving simulation task are significantly different after taking the medication? Conduct the four steps in Hypothesis testing and label each step. Use a two-tailed test with a = .05. Write your decision in the form of a sentence.
b. Can the researcher conclude that scores on the driving simulation task are significantly lower after taking the medication? Conduct the four steps in Hypothesis testing and label each step. Use a one-tailed (critical region) test with a = .05. Write your decision in the form of a sentence.
c. Compute Cohen’s d to measure the size of the effect.
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