5. Many samples of the same size are taken from a population with a population proportion of 0.75. Which sample sizes, n, would be too small to use a normal curve to approximate the sampling distribution? Select all that apply.
Answer choices: 18
30
45 60

18.

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(n being at least 30), the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation

In this question:

n has to be at least 30. So the choice that answer this question, a size of n too small to use a normal curve to approximate the sampling distribution, is 18.

9514 1404 393

  4π m

Step-by-step explanation:

The area is given by ...

  A = πr²

Then the radius is ...

  r = √(A/π) = √(4π/π) = 2 . . . . meters

The circumference is ...

  C = 2πr

  C = 2π(2 m) = 4π m

The circumference of the circle is 4π meters.