Question 2 of 10
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Using the Central Limit Theorem, it is found that the valid conclusion is given as follows:
The sampling distribution will probably not follow a normal distribution, hence we cannot draw a conclusion.
<h3>Central Limit Theorem</h3>The Central Limit Theorem establishes 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 sampling distribution is also approximately normal, as long as n is at least 30.
In this problem, we have a skewed variable with a sample size less than 30, hence the Central Limit Theorem cannot be applied and the correct conclusion is:
The sampling distribution will probably not follow a normal distribution, hence we cannot draw a conclusion.
To learn more about the Central Limit Theorem, you can check brainly.com/question/24663213