Sam received 74 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball,and bat. He ha
1 answer:
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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:
is the expression with value of 15 when n = 7.
Step-by-step explanation:
To find the expression whose value is 15, substitute the value of n = 7 in each given expression.
Expression 1:
Substituting the value of n,
Simplifying,
Since the value of the expression is 8 which is not equal 15.
Hence expression does not have value of 15 when n = 7.
Expression 2:
Substituting the value of n,
Simplifying,
Since the value of the expression is 16 which is not equal 15.
Hence expression does not have value of 15 when n = 7.
Expression 3:
Substituting the value of n,
Simplifying,
Since the value of the expression is 14 which is not equal 15.
Hence expression does not have value of 15 when n = 7.
Expression 4:
Substituting the value of n,
Simplifying,
Since the value of the expression is 15 which is equal 15.
Hence expression has the value of 15 when n = 7.