Question

When we sketch a sampling distribution of means, we often assume it will be normal in...

When we sketch a sampling distribution of means, we often assume it will be normal in its shape, especially with a large enough sample size used for sampling means, even if the population distribution of scores we drew samples from is not normal in its shape. What allows us to make this assumption?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

If we repeat sequence of sample many times and plot the sample means, then distribution is normal.

And central limit theorem states that regardless of variable's distribution in the population, sampling distribution of the mean will tend to approximate normal distribution.

Add a comment
Know the answer?
Add Answer to:
When we sketch a sampling distribution of means, we often assume it will be normal in...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • QUESTION 1 We can create a distribution of sample means by selecting all possible random samples...

    QUESTION 1 We can create a distribution of sample means by selecting all possible random samples of the same size from the population. a. True b. False QUESTION 3 If you select a sample of size 100 from a population of raw scores and construct a distribution of sample means, what shape will the distribution of samples means have? a. left skewed b. right skewed c. approximately normal d. more information is needed about the shape of the population of...

  • Which of the following is true about the sampling distribution of means? Shape of the sampling...

    Which of the following is true about the sampling distribution of means? Shape of the sampling distribution of means is always the same shape as the population distribution, no matter what the sample size is. Sampling distribution of the mean is always right skewed since means cannot be smaller than 0. Sampling distributions of means are always nearly normal. Sampling distributions of means get closer to normality as the sample size increases.

  • The purpose of the questions is to hammer home that the distribution of sampling means for...

    The purpose of the questions is to hammer home that the distribution of sampling means for a large number of samples always makes a normal curve. 2) The second question concerns the following pair of sample mean distributions: Which distribution came from samples with a larger sample size, the one on the left or the one on the right a) b) Why is the sampling distribution on the right a narrower distribution?

  • 6. Sampling Distributions Select which of the following is true and write why the remaining are...

    6. Sampling Distributions Select which of the following is true and write why the remaining are false. d. The shape of the sampling distribution of all possible sample means is always bell-shaped. The shape of the sampling distribution of all possible sample means gets closer to the shape of the population distribution as the sample size gets large. e. f. The shape of the sampling distribution of all possible sample means gets approximately normal as the sample size gets large....

  • Which of the following statements about the sampling distribution of the sample mean, x-bar, is not...

    Which of the following statements about the sampling distribution of the sample mean, x-bar, is not true? The distribution is normal regardless of the shape of the population distribution, as long as the sample size,n, is large enough. The distribution is normal regardless of the sample size, as long as the population distribution is normal. The distribution's mean is the same as the population mean. The distribution's standard deviation is smaller than the population standard deviation. All of the above...

  • If we are considering a population that is approximately normal and we choose the sample size...

    If we are considering a population that is approximately normal and we choose the sample size of n = 3, what is likely true about the shape of the sampling distribution of the sample mean? a)The shape of the sampling distribution of the sample mean is skewed left because the sample size is less than 30. b)The shape of the sampling distribution of the sample mean is skewed right because the sample size is less than 30. c)The shape of...

  • 31. According to the Central Limit Theorem, for random samples, what is the approximate shape of the sampling distr...

    31. According to the Central Limit Theorem, for random samples, what is the approximate shape of the sampling distribution of x-bar when the population distribution is non-Normal? Always the same as the shape of the population O Always Normal, even if the sample size is small Approximately Normal if the sample size is large 32. Choose the probability that best matches the following statement: "This event is very unlikely, but it will occur once in a while in a long...

  • When the population standard deviation is unknown | Question 10 1 pts If sampling distributions of...

    When the population standard deviation is unknown | Question 10 1 pts If sampling distributions of sample means are examined for samples of size 1, 5, 10. 16 and 50. you will notice that as n increases in size, the shape of the sampling distribution appears more like that of the: O Even distribution O Population distribution O Uniform distribution D Normal distribution 1 pts DQuestion 11 It has long been reported that human body temperature follows a normal distribution...

  • A sampling distribution for i would be obtained by finding ... O a. the means of...

    A sampling distribution for i would be obtained by finding ... O a. the means of lots of samples of the same size from the same population O b. the means of lots of samples of the same size from different populations O c. the means of lots of samples of varying sizes from the same population d. the mean of a single sample

  • In the notes there is a Central Limit Theorem example in which a sampling distribution of means i...

    R Programming codes for the above questions? In the notes there is a Central Limit Theorem example in which a sampling distribution of means is created using a for loop, and then this distribution is plotted. This distribution should look approximately like a normal distribution. However, not all statistics have normal sampling distributions. For this problem, you'll create a sampling distribution of standard deviations rather than means. 3. Using a for loop, draw 10,000 samples of size n-30 from a...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT