Answer:
The standard deviation of the sample mean is 4 minutes
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
The standard deviation of the population is 32.
Sample of 64.
So

The standard deviation of the sample mean is 4 minutes
Find the nonpermissible replacement for a in this expression 6/-5a
Denominator cannot be zero or else undefined so set the denominator to zero and solve for the a that will cause the denominator to be zero.
-5a=0
-5/-5x=0/-5
x=0
Nonpermissable replacement is 0.
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