Consider random samples of size 50 from a population with proportion 0.15

Find the mean and standard error of the distribution of sample proportions.

Round your answer for the mean to two decimal places, and your answer for the standard error to three decimal places.

mean =

Standard error =

Is the sample size large enough for the Central Limit Theorem to apply? yes or no

a) Mean = 0.75

b) Standard error = 0.051

c) Yes                              

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 50

Sample proportion , p = 0.15

a) Mean

b) Standard error

c) Application of central limit theorem

Since the sample size is larger than 30, we cam apply central limit theorem for normal approximation.

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere