A researcher would like to examine how the chemical tryptophan, contained in foods such as turkey, can affect mental alertness. A sample of n = 9 college students is obtained and each student’s performance on a familiar video game is measured before and after eating a traditional Thanksgiving dinner including roast turkey. The average score dropped by � = 14 points after the meal with SS = 1152 for the difference scores. Which statistical test would you use to determine if there is a significant difference in mental alertness (as measured by video game performance) before eating tryptophan versus after eating tryptophan? a. One-sample t-test b. Two-sample (independent sample) t-test c. Repeated measures t-test d. Analysis of Variance (ANOVA)
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 examine how the chemical tryptophan, contained in foods such as turkey, can affect mental alertness. A sample of n = 9 college students is obtained and each student’s performance on a familiar video game is measured before and after eating a traditional Thanksgiving dinner including roast turkey. The average score dropped by � = 14 points after the meal with SS = 1152 for the difference scores.
Which statistical test would you use to determine if there is a significant difference in mental alertness (as measured by video game performance) before eating tryptophan versus after eating tryptophan?
a. One-sample t-test
b. Two-sample (independent sample) t-test
c. Repeated measures t-test
d. Analysis of Variance (ANOVA)
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