Asked by yasmine harper on Jul 23, 2024

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When the within-group variability increases the value of the t-statistics increases, increasing the likelihood of ______.

A) rejecting the null hypothesis
B) not rejecting the null hypothesis
C) rejecting the alternative hypothesis
D) increasing the between group variability

T-statistics

A measure used in statistical analysis to determine the difference between a sample statistic and its hypothesized population parameter, scaled by the standard error.

Within-group Variability

Refers to variations in observations within individual groups or categories in a dataset.

Null Hypothesis

The hypothesis that assumes no significant difference or relationship exists between specified populations or parameters.

  • Recognize the relationship between sample variability and hypothesis testing outcomes.
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HW
Heather WeberJul 28, 2024
Final Answer :
A
Explanation :
When the within-group variability increases, it means that there is more variability among the data points within each group. This can make it more likely to observe larger differences between the means of the groups, resulting in a larger calculated t-statistic. This can lead to rejecting the null hypothesis and concluding that there is a significant difference between the groups.