A) How does the t-score change as the deviation (M-μ) increases/decreases?
B) How does the t-score change as the sample variance increases/decreases?
C) How does the t-score change as the sample size increases/decreases?
The t score is calculated as:
Where M is the sample mean,
is the population mean
's' is the Sample standard deviation
and 'n' is the sample size
A) As we can see the t-score is directly proportional to (M-μ), hence t-score increases as (M-μ) increases and t-score decreases as (M-μ) decreases.
B) Sample variance is s2 and as we can see that sample variance or the sample standard deviation is inversely proportional to the t-score so, as sample variance increases the t-score decreases and as the sample variance decreases the t-score also decreases.
C) From the formula, we can see that as the sample size increases the t-score also increases and as the sample size decreases the t-score also decreases.
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