An instructor in a large psychology class gave one group of students questions to be answered while studying for the final exam. The estimated population mean for the exam was μ = 73.4 but the n = 16 students who answered questions had a mean of M = 78.3 with a standard deviation s = 8.4. a. Which statistical test is appropriate for this problem: one-sample t-test, repeated measures t-test, or independent samples t-test? How do you know? b. For this study, did answering questions while studying produce significantly higher exam scores? Use a one-tailed test with α = .05 c. Calculate Cohen’s d and the Confidence Interval. d. Provide an interpretation of the analysis. Be sure to use APA format.
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.
- An instructor in a large psychology class gave one group of students questions to be answered while studying for the final exam. The estimated population mean for the exam was μ = 73.4 but the n = 16 students who answered questions had a mean of M = 78.3 with a standard deviation s = 8.4.
a. Which statistical test is appropriate for this problem: one-sample t-test, repeated measures t-test, or independent samples t-test? How do you know?
b. For this study, did answering questions while studying produce significantly higher exam scores? Use a one-tailed test with α = .05
c. Calculate Cohen’s d and the Confidence Interval.
d. Provide an interpretation of the analysis. Be sure to use APA format.
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