Question

Why are t statistics more variable than z-scores?

Answer 1

T statistics are more unpredictable than z scores since they employ sample variance rather than population variance.

Explain the term t statistics?

• The t-value, also known as the t-score, is a ratio of the variance present within the sample sets to the difference between their respective means.
• The discrepancy between the means of the two tested samples serves as the numerator value.
• When data sets have a normal distribution however the population variance is unknown, the t test is typically performed.
• If you flip a coin 1,000 times, for instance, you can discover that the outcome is distributed normally over all trials.
• The correlation between both the response as well as the predictor factors can be found using the t-test statistic.
• In linear regression, the null hypothesis that slope or coefficient is equal to 0 will be tested using a one-sample t-test.

Thus, because the t statistic employs the sample variance rather than the population variance, it is more volatile than z scores.

To know more about the t statistics, here

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