The sample mean variance of the continuous distribution will be 0.3428.
The population variance is equal to the sample size divided by the variance of the sampling distribution of the mean.
14 is the greatest and 1 is the smallest value in a uniform continuous distribution.
36-size samples are taken from the distribution.
Now,
Variance among the population = 14 – 2 = 12
The sample size is 36.
Given that the sample means' variance is defined as;
= Variation in the population / Sample Size
If you replace all the values, you get;
= 12 / 35
= 0.3428
As a result, the sample mean variance will be 0.3428.
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