Question

7) Consider the normal population of Three Strikes Prisoners with N(49.6, 8.25). Suppose you performed repeated...

7) Consider the normal population of Three Strikes Prisoners with N(49.6, 8.25).

Suppose you performed repeated random samples of size 10. Let’s say you did this 100 times.

a) What would be the mean of this sampling distribution of sample means? ______________________

b) What would be the standard deviation? ______________________________

_______________________________________________________________

(Show the formula and substitution)

c) What would be the shape of this sampling distribution? _________________

Homework Answers

Answer #1

Solution :

Given that,

mean = = 49.6

standard deviation = = 8.25

n = 10

a) = = 49.6

b) = / n = 8.25 / 10 = 2.6089

c)  The shape of this sampling distribution of is normal

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Random samples of size n were selected from a normal population with the means and variances...
Random samples of size n were selected from a normal population with the means and variances given here. n = 25, μ = 12, σ2 = 9 Describe the shape of the sampling distribution of the sample mean. a. The distribution is normal b. The distribution is skewed left c. The distribution is bimodal d. The distribution is uniform e. The distribution is skewed right Find the mean and the standard error of the sampling distribution of the sample mean....
Suppose we repeatedly take samples of size 100 from the population distribution, calculate a sample mean...
Suppose we repeatedly take samples of size 100 from the population distribution, calculate a sample mean each time, and plot those sample means in a histogram. The histogram we created would be an example of a (variable, population, distribution, sampling distribution???) . According to the central limit theorem, the histogram would have a shape that is approximately (left skewed, right skewed or normal???) , with mean  (give a number???) and standard deviation  (give a number??). The standard deviation of the statistic under...
Suppose Jack and Diane are each attempting to use a simulation to describe the sampling distribution...
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 15. JackJack obtains 1000 random samples of size n=55 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=40 from the population. Complete parts​ (a) through​ (c) below. a) Describe the...
Suppose that in the population, exactly 40% of all students who apply to medical school are...
Suppose that in the population, exactly 40% of all students who apply to medical school are accepted. If many random samples of size n = 475 students are selected from this population, we know the sample proportion who are accepted to medical school will vary from sample to sample. The sampling distribution of the sample proportion would be Normal in shape and would have a standard deviation equal to what value? A. 0.0010 B. 0.0225 C. 0.0459 D. 0.4000 E....
1.) A population of values has a normal distribution with μ=33.7μ=33.7 and σ=19.7σ=19.7. You intend to...
1.) A population of values has a normal distribution with μ=33.7μ=33.7 and σ=19.7σ=19.7. You intend to draw a random sample of size n=113n=113. a.))) What is the mean of the distribution of sample means? b.))) What is the standard deviation of the distribution of sample means? 2.) A population has parameters μ=143.4μ=143.4 and σ=49.4σ=49.4. You intend to draw a random sample of size n=156n=156. a.))) What is the mean of the distribution of sample means? b.))) What is the standard...
Suppose a population consists of the four numbers 2, 4, 6 and 8. Consider all random...
Suppose a population consists of the four numbers 2, 4, 6 and 8. Consider all random samples of size n that can be formed by sampling with replacement. Hint: Consider the box below when we make n draws with replacement. ​ What is the sampling distribution of sample mean when n =25? A) Approximately Normal [5, 0.48] B) Approximately Normal [6, 0.49] C) Approximately Normal [4, 0.49] D) Approximately Normal [6, 0.24] E) Approximately Normal [4, 0.24] F) Approximately Normal...
Suppose a simple random sample of size n+75 is obtained from a population whose size is...
Suppose a simple random sample of size n+75 is obtained from a population whose size is N=10,000 and whose population proportion with a specified characteristic is p= 0.6 . Complete parts ​(a) through​ (c) below. ​(a) Describe the sampling distribution of p^. Choose the phrase that best describes the shape of the sampling distribution below. A.) Not normal because n<_ 0.05N and np(1-p)<10. B.) Approximately normal because n<_0.05N and np(1-p)>_10. C). Not normal because n<_0.05N and np(1 -p)>_10. D). Approximately...
Suppose that the volume in a soda can has a mean of 358 milliliters and standard...
Suppose that the volume in a soda can has a mean of 358 milliliters and standard deviation 6 milliliters and that the shape of the distribution of claims in bell-shaped. (a) A researcher takes random samples of size n = 6 and calculates the sample mean x . Create the sampling distribution for this sample mean x . What is the center and the standard error of this new sampling distribution? Draw and label the distribution and provide at least...
Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution...
Suppose Diane and Jack 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 15. Diane 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. Jack does the same​ simulation, but obtains 1000 random samples of size n=35 from the population. Complete parts​ (a) through​ (c) below. ​(a) Describe the...
Suppose x has a distribution with a mean of 20 and a standard deviation of 3....
Suppose x has a distribution with a mean of 20 and a standard deviation of 3. Random samples of size n = 36 are drawn. Is the sampling distribution of x normal? How do you know? What is the mean and the standard deviation of the sampling distribution of x? Find the z score corresponding to x = 19. Find P (x < 19). Would if be unusual for a random sample of size 36 from the x distribution to...