Which of the following statements is true with respect to the sampling distribution of a proportion?

  • Home
  • Blogs
  • Reviews
  • FAQs

  • Home
  • Blogs
  • Reviews
  • FAQs

Question

Probability

Which of the following statements is true about the sampling distribution of the sample mean? Check all correct answers (There may be more than one).

O As n increases, the standard error of the sample mean decreases.

O The sampling distribution of sample mean will be exactly normally distributed as long as the original population is normal.

O The sampling distribution of the sample mean is never exactly normal.

O The distribution of the sample mIean will be approximately normally distributed as long as the sample size is large enough.

As n increases, the variance of the sample mean also increases.

O If the histogram of distribution of the sample mean of samples of size 100 looks normal then the underlying population distribution must be normal.

7 If the histogram of distribution of the sample mean of samples of size 10 looks normal then the underlying population distribution must be normal.

As n increases, the expected value of the sample mean does not change.


Submit query

Getting answers to your urgent problems is simple. Submit your query in the given box and get answers Instantly.

Submit a new Query

Please Add files or description to proceed

Success

Assignment is successfully created

Video Transcript

Hi everyone in this question, we are given that we have a data of 609 students, 609 students Who entered Winder Bit Vanderbilt University as freshman between 1983 to 1986, I did 3- 1996. So we took an intermediate microeconomics course. All right. The tokens intermediate micro economics of course. Only students who had previously taken a calculus course and two semesters of an introductory economics were included in the dataset. So neither calculus, of course and two semesters of introductory economics, only those who are eligible to get this course of intermediate microeconomics. Thank you.

  1. Which of the following statements is true with respect to the sampling distribution of a proportion?

       

    The mean of the sampling distribution will equal the true population proportion.

       

    An increase in the sample size will result in an increase in the size of the standard deviation.

       

    The sampling distribution will be approximately Normal regardless of sample size.

       

    The standard deviation of the sampling distribution will equal the standard deviation of the population.

Which of the following statements is true with respect to the sampling distribution of a proportion?

Students who’ve seen this question also like:

Which of the following statements is true with respect to the sampling distribution of a proportion?

Which of the following statements is true with respect to the sampling distribution of a proportion?

A) The mean of the sampling distribution will equal the population proportion.

B) As long as the sample size is sufficiently large, the sampling distribution will be approximately normal.

C) An increase in the sample size will result in a reduction in the size of the standard deviation.

D) All of the above are true.

Which of the following statements is true with respect to the sampling distribution of a proportion?

Students who’ve seen this question also like:

Your question is solved by a Subject Matter Expert

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

8+ million solutions

Get access to millions of step-by-step textbook and homework solutions

Support from experts

Send experts your homework questions or start a chat with a tutor

Which of the following statements is true with respect to the sampling distribution of a proportion?

Essay support

Check for plagiarism and create citations in seconds

Solve math equations

Get instant explanations to difficult math equations

Find answers to questions asked by students like you.

Q: Which of the following statements about the sampling distribution of the sample mean is incorrect,…

A: It is given that the population mean is μ and the population standard deviation is σ.  Then we know…

Q: If the true mean is 0.9480 with a standard deviation of 0.0060, within what interval will 95% of the…

A: Random samples of 35 blended fuels are tested in a lab to ascertain the bio/total carbon ratio. The…

Q: Which of the following statements is true with respect to the sampling distribution of a proportion?…

A: The sampling distribution of the proportion is approximately normal with mean p and standard…

Q: Is the statement below true or false? The distribution of the sample mean, x, will be normally…

A: Here  For sampling Distribution  As per Central limit theorem the Distribution of sample mean will…

Q: For the following​ information, determine whether a normal sampling distribution can be​ used, where…

A: Solution

Q: a) In the analysis of a barrel of powder, the standard deviation of the sampling operation is ±4%…

A: a) The standard deviation of the sampling operation is ± 4% or ± 0.04 and the standard deviation of…

Q: (a) The mean of the sampling distribution of ?̂ p^ is:  (b) The standard deviation of the sampling…

A: Click to see the answer

Q: Which of the following statements about the sampling distribution of the sample mean, x-bar, is…

A: Central Limit Theorem: If the sample is selected from the population with finite mean and standard…

Q: Let S={5, y, x, y} be our sample such that S is unimodal, and the median and midrange of S are 5 and…

A: S = {5, y, x, y}

Q: According to the rules of probability, if a sampling distribution has a standard error of .45, the…

A: Solution: From the given information, the standard error of the sampling distribution is 0.45.

Q: Suppose that we will take a random sample of size n from a population having mean µ and standard…

A: Click to see the answer

Q: Based on the central limit theorem, what is the mean and standard deviation for the sampling…

A: Correct answer is (1).

Q: Which of the following statements is not true of the sampling distribution of a sample mean? The…

A: Identify the option that is not true about the sampling distribution of sampling mean.   The option…

Q: Samuel F.B. Morse (1791 – 1872), the creator of Morse Code, claimed that 12% of all letters used in…

A: The population proportion is 0.12=12100, and a random sample of 196 letters. That is, n=196,p=0.12.

Q: Assume the stated rate of 8% is indeed the correct proportion for all US adults. What is the…

A: We have to find correct answer.

Q: As a general rule, the normal distribution is used to approximate the sampling distribution of the…

A: We have to find the sentence is true or false..

Q: 1. As a general rule, the normal distribution is used to approximate the sampling distribution of…

A: Given : Statement : The normal distribution is used to approximate the sampling distribution of the…

Q: Is the following statement true, false? Answer using the pull down men 1. As a general rule, the…

A: The normal distribution can be used to approximate the sampling distribution of the sample…

Q: - To estimate a population mean, the sample size needed to provide a margin of rror of 2 or less…

A: Click to see the answer

Q: For the following information, determine whether a normal sampling distribution can be used, where p…

A: Click to see the answer

Q: 17. The distribution of scores on the SAT is approxi- mately normal with a mean of µ = 500 and a…

A: Note: Note: Hey there! Thank you for posting the question. Since your question has more than 3…

Q: If the average low temperature of a winter month in Rochester, NY is 16° and the standard deviation…

A: The Chebyshev’s inequality theorem states that of the data values falls inside the k standard…

Q: A recent study shows that out of 5, 000 people who moved to Arizona, 2, 350 did so to take a new…

A: From the given information, sample size n = 1000. Total number of people moved n(S) = 5000. Number…

Q: Which of the following distributions of the sample mean would NOT be normally distributed…

A: We know that,          The central limit theorem(CLT) states that if you have a population with…

Q: Let S={5, y, x, y} be our sample such that S is unimodal, and the median and midrange of S are 5 and…

A: Solution

Q: 18. Observe the mean, A and standard deviation a, of the sampling distribution of X, and annotate…

A: Given information: Mean of the parent population =16 Standard deviation of the parent population =5…

Q: b. Calculate the standard deviation of the sampling distribution of p. 10. 6.4.2 For this scenario,…

A: "Since you have posted a question with multiple subparts, we will solve the first 3 sub-parts for…

Q: Assume that the heights of blocks are normally distributed, with a mean of 14.6 inches and a…

A: Click to see the answer

Q: If the sample size is 36 and the population standard deviation is 24, then the standard deviation of…

A: Click to see the answer

Q: Suppose that we will take a random sample of size n from a population having mean µ and standard…

A: It is given that, Population mean,µ = 3 Population standard, σ = .6 Sample size, n = 8 According to…

Q: If samples of a specific size are selected from a population and the means are computed, what is the…

A: Answer:-----.                    Date:----26/10/2021 a)

Q: 4) According to one pollster, 59 % of people are afraid of flying. Suppose that a sample of size 26…

A: Click to see the answer

Q: Compute the standard deviation of the sampled proportions if p=.4 and n=500. Round to three places.

A: We want to find standard deviation  X~Binomial(n=500,p=0.4)

Q: . Assume that, for a given test, the population mean is µ=50 and the population standard deviation…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Assume that, for a given test, the population mean is µ=50 and the population standard deviation is…

A: Mean = 50 Standard deviation = 10 Sample size, n = 25

Q: Assume that, for a given test, the population mean is µ=50 and the population standard deviation is…

A: Mean = 50 Standard deviation = 10 Sample size = 25

Q: Assume that, for a given test, the population mean is µ=50 and the population standard deviation is…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: Assume that, for a given test, the population mean is µ=50 and the population standard deviation is…

A: The sample mean will follow normal distribution with parameters:

Q: Assume that, for a given test, the population mean is µ=50 and the population standard deviation is…

A: Given that, Random sample of size 4 is taken from population with population mean = μ=50 and…

Q: Assume that, for a given test, the population mean is µ=50 and the population standard deviation is…

A: given: Population mean (μ)=50 Population standard deviation (σ)=10 Sample mean (M)=54 Sample size…

Q: Solve the standard deviations of the following distributions of grouped scores: (Class Interval,…

A: The distribution can be solved by table shown below: Class Continuous class Class markxi…

Q: Use the values below to compute the sample standard deviation. Be sure t

A: Formula for sample standard deviation: s=∑x2-∑x2nn-1 Substitute the given values in the above…

Q: Which of the following does not call for the use of the Student's t-distribution, A The sample…

A: Given, The students t distribution is used when sample size is less than 30, the population standard…

Q: Define and distinguish between the sample distribution, the sampling distribution, and the…

A: Population distribution: The population distribution is the form of a probability distribution that…

Q: Define and distinguish between the sample distribution, the sampling distribution, and the…

A: Population distribution: The population distribution is the form of a probability distribution that…

Q: The following data are from a simple random sample. 4   8   13   7   13   15 a. What is the point…

A: Click to see the answer

Q: Consider an x distribution with standard deviation ? = 35. (a) If specifications for a research…

A: Note: We have considered standard error as the standard deviation of x-bar. If x has standard…

Q: For a normal distribution with m= 70 and s = 10, what is the minimum score necessary to be in the…

A: It is given that the for a normal distribution with m= 70 and s = 10. X~N(70,102) We have to find…

Q: Given a distribution that has a mean of 37 and a standard deviation of 12, calculate the probability…

A: Click to see the answer

Q: Given a normal population whose mean is 350 and whose standard deviation is 47, find each of the…

A: Let us denote the variable by X.  Given that X follows a normal distribution with mean= 350 and…

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

  • Which of the following statements is true with respect to the sampling distribution of a proportion?

  • Which of the following statements is true with respect to the sampling distribution of a proportion?

    What is true about the sampling distribution of the sample proportion?

    The Sampling Distribution of the Sample Proportion. For large samples, the sample proportion is approximately normally distributed, with mean μˆP=p. and standard deviation σˆP=√pqn. A sample is large if the interval [p−3σˆp,p+3σˆp] lies wholly within the interval [0,1].

    Which of the following statements is true with respect to the sampling distribution of the sample mean?

    Question: Which of the following statements is true with respect to the sampling distribution of a proportion? The mean of the sampling distribution will equal the true population proportion.

    Which of the following statements is true regarding sampling distributions?

    Which of the following is true about the sampling distribution of means? Sampling distribution of the mean is always right skewed since means cannot be smaller than 0. Shape of the sampling distribution of means is always the same shape as the population distribution, no matter what the sample size is.

    What does a sampling distribution of a proportion show?

    If the population has a proportion of p, then random samples of the same size drawn from the population will have sample proportions close to p. More specifically, the distribution of sample proportions will have a mean of p. We also observed that for this situation, the sample proportions are approximately normal.