Asked by Salma Tawfic on Jul 18, 2024
Verified
In testing the difference between two sample means , the greater the difference between the two means, the more the value of the t-statistic (t) differs from ______.
A) 0
B) μ
C) the alternative hypothesis
D) the region of rejection
T-statistic
A type of statistic used to estimate the population parameter based on a sample statistic.
Sample Means
The average values obtained from multiple small groups (samples) taken from a larger population, used in statistical analyses.
- Understand the relationship between the t-statistic value, hypothesis testing outcomes, and mean differences.
Verified Answer
FW
Fesseator WrightJul 19, 2024
Final Answer :
A
Explanation :
The t-statistic is calculated as the difference between the sample means divided by the standard error of the difference. As the difference between the sample means gets larger, the numerator of this fraction gets larger and therefore the value of the t-statistic gets further away from 0.
Learning Objectives
- Understand the relationship between the t-statistic value, hypothesis testing outcomes, and mean differences.
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