Suppose Jack and Diane are each attempting to use a simulation to describe the s

Question

Suppose Jack and Diane are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 60 and standard deviation 10. Jack obtains 1000 random samples of size n= 4 from the population, finds the mean of the means, and determines the standard deviation of the means. Diane does the same simulation, but obtains 1000 random samples of size n= 35 from the population. Complete parts (a) through (a) below. (a) Describe the shape you expect for Jack's distribution of sample means. Describe the shape you expect for Diane's distribution of sample means. Choose the correct answer below. O A. Jack's distribution is expected to be skewed left, but not as much as the original distribution. Diane's distribution is expected to be approximately normal. OB. Diane's distribution is expected to be skewed right, but more than the original distribution. Jack's distribution is expected to be approximately normal. OC, Jack's distribution and Diane's distribution are expected to be approximately normal. However, Jack's will have a greater standard deviation. OD. Jack's distribution is expected to be skewed right, but not as much as the original distribution. Diane's distribution is expected to be approximately normal. (b) What do you expect the mean of Jack's distribution to be? What do you expect the mean of Diane's distribution to be? Jack's distribution is expected to have a mean of Diane's distribution is expected to have a mean of (c) What do you expect the standard deviation of Jack's distribution to be? What do you expect the standard deviation of Diane's distribution to be? Diane's distribution is expected to have a standard deviation of Jack's distribution is expected to have a standard deviation of (Round to two decimal places as needed.)

Explanation / Answer

Given that Jack and Diane are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 60 and standard deviation 10.

Jack obtains 1000 random samples of size n = 4 from the population.

Diane does the same simulation but obtain 1000 random samples of size n = 35 from the population.

And the distribution of Diane is expected to be approximately to be normal since sample size is 34 which is greator than 30.

So option D) is correct.

b)

Mean = 60

Diane distribution :

Mean = 60

c) Jack’s distribution :

Sd = 10 / sqrt(35)= 1.69

           Diane’s distribution :     

               Sd = 10/sqrt(4) = 5

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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