Respuesta :
The variance of the sample means will be 0.3428.
What is Variance of sample means?
The variance of the sampling distribution of the mean is the population variance divided by the sample size.
Given that;
A uniform continuous distribution has a maximum of 14 and a minimum
of 2.
Samples of size 36 are drawn from the distribution.
Now,
The population variance = 14 - 2
= 12
And, Sample size = 36
Since, The variance of the sample means is defined as;
= Population variance / Sample size
Substitute all the values, we get;
= 12 / 35
= 0.3428
Thus, The variance of the sample means will be 0.3428.
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