Sandy has three sons. Daniel and Sam are right handed and Carl is ...

[nummyann]

Sandy has three sons. Daniel and Sam are right handed and Carl is left handed. Assume that samples of size 3 are randomly selected with replacement from this population of three.
 
  List the 27 different possible samples and find the proportion of right handers in each sample. Describe the sampling distribution of proportions and find the mean of the sampling distribution.
 
  Provide an appropriate response.

Question 2

The symbol  represents the .
 
  a. mean of a sample
  b. mean of a population
  c. standard deviation of a sample
  d. standard deviation of a population

[joewallace]

Answer to Question 1

Possible samples:
Daniel-Daniel-Daniel, Daniel-Daniel-Sam, Daniel-Daniel-Carl, Daniel-Sam-Daniel, Daniel-Sam-Sam, Daniel-Sam-Carl, Daniel-Carl-Daniel, Daniel-Carl-Sam, Daniel-Carl-Carl, Sam-Daniel-Daniel, Sam-Daniel-Sam, Sam-Daniel-Carl, Sam-Sam-Daniel, Sam-Sam-Sam, Sam-Sam-Carl, Sam-Carl-Daniel, Sam-Carl-Sam, Sam-Carl-Carl, Carl-Daniel-Daniel, Carl-Daniel-Sam, Carl-Daniel-Carl, Carl-Sam-Daniel, Carl-Sam-Sam, Carl-Sam-Carl, Carl-Carl-Daniel, Carl-Carl-Sam, Carl-Carl-Carl

Proportions: 1, 1, 2/3, 1, 1, 2/3, 2/3, 2/3, 1/3, 1, 1, 2/3, 1, 1, 2/3, 2/3, 2/3, 1/3, 2/3, 2/3, 1/3, 2/3, 2/3, 1/3, 1/3, 1/3, 0

The sampling distribution of proportions consists of the 27 proportions paired with the probability of 1/27.
The mean of the sampling distribution is 2/3

Answer to Question 2

D

[nummyann]

TYSM

[mjenn52]

Thanks for the timely response, appreciate it