When observations are drawn at random from a population with finite mean μμ, the Law of...
When observations are drawn at random from a population with finite mean μμ, the Law of Large Numbers tells us that as the number of observations increases, the mean of the observed values
- a. tends to get closer and closer to the population mean μ.
- b. gets larger and larger.
- c. fluctuates steadily between one standard deviation above and one standard deviation below the mean.
- d. gets smaller and smaller.
Homework Answers
Law of large numbers states that as the number of observations increase, the mean of the observaed values will tend to get closer and closer to the population mean μ, given that the population mean is finite
So Answer is Option A
tends to get closer and closer to the population mean μ.
Add Answer to:
When observations are drawn at random from a population with
finite mean μμ, the Law of...
The Law of Large Numbers describes what happens to the sample mean as the sample size gets...
The Law of Large Numbers describes what happens to the sample mean as the sample size gets very large. Which one of the below is a correct statement of the Law of Large Numbers? A. The sample mean tends to get closer to the population mean μ as the sample size increases. B. The mean of the sampling distribution of tends to get closer to m as the sample size increases. C. The sample mean increases as the sample size increases....
Let the following sample of 8 observations be drawn from a normal population with unknown mean...
Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 21, 20, 25, 18, 28, 19, 13, 22. [You may find it useful to reference the t table.] a. Calculate the sample mean and the sample standard deviation. (Round intermediate calculations to at least 4 decimal places. Round "Sample mean" to 3 decimal places and "Sample standard deviation" to 2 decimal places.) b. Construct the 90% confidence interval for the population...
Let the following sample of 8 observations be drawn from a normal population with unknown mean...
Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 24, 22, 14, 26, 28, 16, 20, 21. [You may find it useful to reference the t table.) a. Calculate the sample mean and the sample standard deviation (Round intermediate calculations to at least 4 decimal places. Round "Sample mean" to 3 decimal places and "Sample standard deviation" to 2 decimal places.) Answer is complete but not entirely correct. Sample mean...
A random sample of 64 observations is drawn from a population with a mean equal to...
A random sample of 64 observations is drawn from a population with a mean equal to 71 and a standard deviation equal to 16. What is the mean and the standard deviation of the sampling distribution of x̄? μ = σ = Describe the shape of the sampling distribution of x̄. Does this answer depend on the sample size? The shape is that of a distribution and depend on the sample size. Calculate the z-score corresponding to a value of...
If random samples of size n = 36 are drawn from a nonnormal population with finite...
If random samples of size n = 36 are drawn from a nonnormal population with finite mean = 75 and standard deviation = 15, then the sampling distribution of the sample mean is approximately normally distributed with mean = 75 and standard deviation = 2.5. Select one: O a. False O b. True
Random samples of size n = 2 are drawn from a finite population that consists of...
Random samples of size n = 2 are drawn from a finite population that consists of the numbers 2, 4, 6, and 8. (a) Calculate the mean and the standard deviation of this population. (b) List the six possible random samples of size n = 2 that can be drawn from this population and calculate their means. (c) Use the results of part (b) to construct the sampling distribution of the mean for random samples of size n = 2...
A random sample of n=7 observations are drawn from a normal population with mean and variance...
A random sample of n=7 observations are drawn from a normal population with mean and variance σ^2. The mean and variance of the sample are 1.45 and 2.07 respectively. Calculate a 90% confidence interval for the population standard deviation.
A random sample of 100 observations is drawn from a population with a mean equal to...
A random sample of 100 observations is drawn from a population with a mean equal to 20 and standard deviation equal to 16. Let Xbar denote the sample mean. (a) Find the mean and standard deviation of the sampling distribution of Xbar (b) Describe the shape of the sampling distribution of Xbar. Does your answer depend on the sample size? (c) Find P(Xbar <16). P(Xbar >23). P(16< Xbar <23). Thank You!
A random sample of =49 observations is drawn from a population with a mean equal to...
A random sample of =49 observations is drawn from a population with a mean equal to 15 and a standard deviation equal to 14. a. Give the mean and standard deviation of the (repeated) sampling distribution x overbarx. b. Describe the shape of the sampling distribution of x overbarx. Does your answer depend on the sample size? c. Calculate the standard normal z-score corresponding to a value of x overbarxequals=12.5. d. Calculate the standard normal z-score corresponding to a value...
Suppose that a random sample of size 1 is to be taken from a finite population...
Suppose that a random sample of size 1 is to be taken from a finite population of size N. Answer parts (a) through (c) below. a. How many possible samples are there? A. N + 1 B. N-1 0 C. N D. 1 b. Identify the relationship between the possible sample means and the possible observations of the variable under consideration. Choose the correct answer below. A. Each possible sample mean is equal to an observation, only if the population...
Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 24, 22, 14, 26, 28, 16, 20, 21. [You may find it useful to reference the t table.) a. Calculate the sample mean and the sample standard deviation (Round intermediate calculations to at least 4 decimal places. Round "Sample mean" to 3 decimal places and "Sample standard deviation" to 2 decimal places.) Answer is complete but not entirely correct. Sample mean...
If random samples of size n = 36 are drawn from a nonnormal population with finite mean = 75 and standard deviation = 15, then the sampling distribution of the sample mean is approximately normally distributed with mean = 75 and standard deviation = 2.5. Select one: O a. False O b. True
Random samples of size n = 2 are drawn from a finite population that consists of the numbers 2, 4, 6, and 8. (a) Calculate the mean and the standard deviation of this population. (b) List the six possible random samples of size n = 2 that can be drawn from this population and calculate their means. (c) Use the results of part (b) to construct the sampling distribution of the mean for random samples of size n = 2...
Suppose that a random sample of size 1 is to be taken from a finite population of size N. Answer parts (a) through (c) below. a. How many possible samples are there? A. N + 1 B. N-1 0 C. N D. 1 b. Identify the relationship between the possible sample means and the possible observations of the variable under consideration. Choose the correct answer below. A. Each possible sample mean is equal to an observation, only if the population...
Most questions answered within 3 hours.
-
1. Which of the following is true about politics and health
organizations?
A. Health organizations are...
asked 3 minutes ago -
A space vehicle is coasting at a constant velocity of 18.1 m/s
in the +y direction...
asked 1 hour ago -
5) Use the following balanced equation to answer questions
(a)-(i).
3 Cu(s) + 8 HNO3(aq) →...
asked 46 minutes ago -
A three-year maturity bond with a 12% annual coupon rate is
currently traded at par $1000...
asked 55 minutes ago -
1.
What is the minimum volume to use in the Spec 20 cuvette in order
to...
asked 1 hour ago -
A builder wants to install wall-to-wall carpeting in a living
room of length 8.87 m and...
asked 1 hour ago -
Organizational change can produce anxiety in those affected by
the change. In what ways can change...
asked 1 hour ago -
Ozone in the atmosphere may react with nitric oxide.
From the following data, calculate the DG...
asked 1 hour ago -
Steven Long, a bond analyst, is analyzing a convertible bond.
The characteristics of the bond are...
asked 1 hour ago -
Michael Bordellet is
the owner/pilot of Stellar Air Service. The company flies a daily
round trip...
asked 1 hour ago -
Hi, I need to change the conversion where stack is into a class
stack and add...
asked 1 hour ago -
Consider the log logistic CDF F(t)=1/(1+(t/α)-β)
Find f(t), S(t), h(t), and H(t).
It can be shown...
asked 1 hour ago