Asked by Margie Hammon on May 23, 2024
Verified
Although their formulas are similar, one difference between the z-score (z) and the t-statistic (t) is that ______.
A) only z-scores (not t-statistics) are part of a theoretical distribution
B) z-scores evaluate sample means whereas t-statistics evaluate individual scores
C) the numerator of the t-statistic formula (not the z-score) is the difference between a score and a mean
D) the denominator of the t-statistic formula estimates the variability of sample means rather than individual scores
T-statistic
A type of statistic used in hypothesis testing, calculated from sample data to assess the strength of the evidence against the null hypothesis.
Z-score
A Z-score is a statistical measurement describing the number of standard deviations a data point is from the mean of a data set, used in standardizing data and for hypothesis testing.
Theoretical Distribution
A mathematical function that represents the possible values and their associated probabilities of a random variable.
- Recognize the variances between z-scores and t-statistics.
Verified Answer
ES
Elian SegevMay 28, 2024
Final Answer :
D
Explanation :
The denominator of the t-statistic formula estimates the variability of sample means rather than individual scores, whereas the z-score formula uses the standard deviation of the population as the denominator.
Learning Objectives
- Recognize the variances between z-scores and t-statistics.