Please helpp me (and explain if you can pls:) ) TYSMMM!!!!
2 answers:
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Answer:
A. The larger the sample size the better.
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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
In this question:
We have to look at the standard error, which is:
This means that an increase in the sample size reduces the standard error, and thus, the larger the sample size the better, and the correct answer is given by option a.
Answer:
The volume of this cylinder is 9184.5 cubic feet.
Step-by-step explanation:
The area of a circle is and the volume of a cylinder with that base is just that area times the height:
Here, we're given the diameter, but we need the radius. The radius of a circle is just half of the diameter:
Next, you can use that radius to calculate the area of the base:
Finally, multiply that by the height to find the volume of the cylinder:
The volume of this cylinder is 9184.5 cubic feet.