The approximate difference in their volumes is 17.2 cubic inches
<h3>How to determine the difference in the volume?</h3>The given parameters are:
Diameter, d = 2.8
Diameter, D = 3.8
The radii are the half of the diameter.
So, we have:
r = 1.4
R = 1.9
The volume of the balls is then calculated using:
The difference is then represented as:
Substitute known values
Evaluate
D = 17.2
Hence, the approximate difference in their volumes is 17.2 cubic inches
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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