On any given day, the proportion of workers at a factory who are more than 5 minutes late to work is 0.11. A random sample of 20 workers will be selected. Which of the following is the best interpretation of the mean of the sampling distribution of the sample proportion of workers in the sample who are more than 5 minutes late to work for samples of size 20 ? A) For all samples of size 20, the mean of all possible sample proportions is equal to 0.11.
B) For a randomly selected worker, the probability the worker will be more than 5 minutes late to work is 0.11.
C) For a random sample of 20 workers, the proportion of workers who are more than 20 minutes late to work will be 0.11.
D) For a random sample of 20 workers, the probability that 2.2 workers will be more than 5 minutes late to work is very high.
E) For repeated samples of size 20, the proportion of workers who are more than 5 minutes late to work varies in each sample by no more than 0.11.

The interpretation of the mean of the sampling distribution will be A. For all samples of size 20, the mean of all possible sample proportions is equal to 0.11.

In conclusion, the best option is A.

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A) For all samples of size 20, the mean of all possible sample proportions is equal to 0.11.

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.

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 that:

The proportion workers at a factory who are more than 5 minutes late to work is 0.11. So, by the interpretation of the central limit theorem, the mean of all sample proportions, for samples of size 20, will be of 0.11.

The correct answer is given by option A.

answer: b

step-by-step explanation: im sorry bro bro but thats not a eqation the human mind can answer and plus im a devil

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.