Ans : c an increase in standard error and a decrease in the value of the .
Let X represents a set of values with size n, with mean m and with standard deviation S. The comparison of the observed mean (m) of the population to a theoretical value μ. So test statistic given as ,
t=(m−μ) / (s/√n )
So clearly standard error = s/√n
As s increases standard error increases. assuming n is fixed.
And as standard error increases the value of test statistic t is decrease.
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