Answer:
Step-by-step explanation:
Final Answer:
Answer:
By the Central Limit Theorem, the mean is 78, the standard deviation is and the shape is approximately normal.
Step-by-step explanation:
Central Limit Theorem
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 Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 78 and a standard deviation of 6
This means that
Samples of n:
This means that the standard deviation is:
What are the mean, standard deviation, and shape of the distribution of x-bar for n?
By the Central Limit Theorem, the mean is 78, the standard deviation is and the shape is approximately normal.
Answer:
A fact family is a set of related addition and subtraction number sentences that include the same numbers. The numbers 2, 4, and 6 can be written in two different addition sentences. The numbers 2, 4, and 6 can be written in two different subtraction sentences. These four number sentences make up a fact family.
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