19. Sampling Distribution. A quarterback threw 1 interception in his first game,

Question

19. Sampling Distribution. A quarterback threw 1 interception in his first game, 2 interceptions in his second game, 5 in terceptions in his third game, and then he retired. Consider the values of 1, 2, and 5 to be a population. Assume that samples of size 2 are randomly selected (with replacement) from the population a. List the 9 different possible samples and find the mean of each sample b. What is the mean of the sample means from part a? c. Is the mean of the sampling distribution from part t equal to the mean of the population of the three listed values? Are those means always equal?

Explanation / Answer

a) below are 9 different sample and their corresponding means:

b) mean of the sample of means =2.6667

c) mean of (!,2,5) =(5+2+1)/3=2.6667

hence yes mean from part b is equal to the mean of population of three listed values.

Yes thise means are always equal; as sample means are best predictor of population mean,

1st value 2nd value sample mean 1 1 1 , 1 1 2 1 2 , 1 1.5 5 1 5 , 1 3 1 2 1 , 2 1.5 2 2 2 , 2 2 5 2 5 , 2 3.5 1 5 1 , 5 3 2 5 2 , 5 3.5 5 5 5 , 5 5 total 24 mean=total/9 2.6667

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.