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 50 and standard deviation 5. Jack Obtains 1000 random samples of size n=3 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=30 from the population. Describe the shape you would expect for Jack's distribution of samples means. Describe the shape you would expect for Diane's distrubution of samples means. Chose the best answer.

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.

B.) 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.

C.) Diane's distribution is expected to be skewed right, but more than the original distribution. Jack's distribution is expected to be approximately normal.

D.) Jack's distribution and Diane's distribution are expected to be approximately normal. However, Jack's will have a greater standard deviation.

Explanation / Answer

We know that increasing of sample sizes will reach to the exact population.

So here Diane has sampled more than Jack so it is expected that Diane reaches exact population than Jack.

Hence Daine reaches to the right skewed distribution an Jack reaches normal more or less. So option B is correct

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

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