In the case above:
(a) If there is an increased from 64 to 196, then the variance decreases.
(b) If there is a decreased from 784 to 49, then the variance increases.
What occurs if the variance increases?
Standard Error is known to be the square root of the variance. if a given variance increases, so its standard error also.
Since the standard error takes place in the denominator, hence, if the standard error increases, the variance goes up.
Therefore, In the case above:
(a) If there is an increased from 64 to 196, then the variance decreases.
(b) If there is a decreased from 784 to 49, then the variance increases.
See full question below
A certain type of thread is manufactured with a mean tensile strength of 78.3 kilograms and a standard deviation of 5.6 kilograms. How is the variance of the sample mean changed when the sample size is (a) increased from 64 to 196? (b) decreased from 784 to 49?
What is the variance about?
Learn more about variances from
https://brainly.com/question/15518067
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