Desperate Please Hurry Question down below
1 answer:
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Answer:
The mean of the sampling distribution of means for the 36 students is of 18.6 homework hours per week.
Step-by-step explanation:
Central Limit Theorem
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 question:
For the population, the mean is 18.6. So, by the Central Limit Theorem, the mean of the sampling distribution is also 18.6.
<u>Given</u>:
It is given that the height of the rectangle is
The width of the rectangle is
We need to determine the area of the entire rectangle.
<u>Area of the rectangle:</u>
The area of the rectangle can be determined using the formula,
Substituting the values, we have;
Multiplying each term within the parenthesis, we get;
Simplifying, we get;
Adding the like terms, we have;
Thus, the area of the entire rectangle is