Author Question: A research wants to take a simple random sample of about 10 of the factory workers at two ... (Read 404 times)

tatyanajohnson · **on:** Jun 24, 2018

A research wants to take a simple random sample of about 10 of the factory workers at two different factories to study the number of hours worked per week. Factory A has approximately 10,000 employees and Factory B has about 25,000 employees. Which of the following statements is correct if Factory A and Factory B come from the same population?

a.The sampling variability will be higher for Factory A than for Factory B.
b.The average number of hours must be known to make a statement about the sampling variability.
c.The sampling variability will be lower for Factory A than for Factory B.
d.The sampling variability will be the same for both Factory A and Factory B.

Question 2

Which of the following is true with respect to the sampling distribution of sample means?

a.If all possible random samples, each of size n, are taken from any population with mean

and standard deviation

, the sampling distribution of the sample mean will have a mean

equal to

and a standard deviation equal to

.
b.Only if the sampled population has a normal distribution then all possible random samples, each of size n, will also have a normal distribution with mean

and standard deviation

. The sampling distribution of the sample mean will have a mean

equal to

and a standard deviation equal to

. This is not true if the population is not normally distributed.
c.If all possible random samples, each of size n, are taken from any population with mean

and standard deviation

, the sampling distribution of the sample mean will have a mean

equal to

and a standard deviation equal to

.
d.If all possible random samples, each of size n, are taken from any population with mean

and standard deviation

, the sampling distribution of the sample mean will have a mean

equal to

and a standard deviation equal to

.