Question

(All one question) What does one dot on the sampling distribution represent? Estimate the population mean, mu. Estimate the standard error. Using the sampling distribution, how likely would it be to get a sample with x-bar = 54.9 Using the sampling distribution, how likely would it be to get a sample with x-bar = 65.7 If sample size n = 50 had been used instead of n = 10, which of the following would be true? The sample means would center around a lower value the sample means would center around a higher value the sample means would be centered at the same value If the sample size n =50 had been used instead of n = 10, which of the following would be true? the sample means would have less variability the variability in the sample means would be the same the sample means would have more variability The sampling distribution below shows sample means from samples of size n= 10 59 61 63 65 67 69 71

          (All one question)
What does one dot on the sampling distribution represent?
Estimate the population mean, mu.
Estimate the standard error.
Using the sampling distribution, how likely would it be to get a sample with x-bar = 54.9
Using the sampling distribution, how likely would it be to get a sample with x-bar = 65.7
If sample size n = 50 had been used instead of n = 10, which of the following would be true?
The sample means would center around a lower value
the sample means would center around a higher value
the sample means would be centered at the same value
If the sample size n =50 had been used instead of n = 10, which of the following would be true?
the sample means would have less variability 
the variability in the sample means would be the same
the sample means would have more variability
The sampling distribution below shows sample means from samples of size n= 10
59
61
63
65
67
69
71
        
Show more…

Added by Sebastian N.

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
(All one question) What does one dot on the sampling distribution represent? Estimate the population mean, mu. Estimate the standard error. Using the sampling distribution, how likely would it be to get a sample with x-bar = 54.9 Using the sampling distribution, how likely would it be to get a sample with x-bar = 65.7 If sample size n = 50 had been used instead of n = 10, which of the following would be true? The sample means would center around a lower value the sample means would center around a higher value the sample means would be centered at the same value If the sample size n =50 had been used instead of n = 10, which of the following would be true? the sample means would have less variability the variability in the sample means would be the same the sample means would have more variability The sampling distribution below shows sample means from samples of size n= 10 59 61 63 65 67 69 71
Close icon
Play audio
Feedback
Powered by NumerAI
David Collins Jennifer Stoner
Danielle Fairburn verified

Lucas Finney and 87 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
the-sampling-distribution-shows-sample-means-from-samples-of-size-n-50-2what-does-one-dot-on-the-sampling-distribution-represent-3estimate-the-population-mean-from-the-dotplot-4-using-the-sa-51074

The sampling distribution shows sample means from samples of size n = 50. 2. What does one dot on the sampling distribution represent? 3. Estimate the population mean from the dot plot. 4. Using the sampling distribution, how likely is x = 55.6? A) Reasonably likely to occur from a sample of this size B) Unusual but might occur occasionally C) Extremely unlikely to ever occur 5. Using the sampling distribution, how likely is x = 64.2? A) Reasonably likely to occur from a sample of this size B) Unusual but might occur occasionally C) Extremely unlikely to ever occur 6. Using the sampling distribution, how likely is x = 68.7? A) Reasonably likely to occur from a sample of this size B) Unusual but might occur occasionally C) Extremely unlikely to ever occur 7. If samples of size n = 30 had been used instead of n = 50, which of the following would be true? A) The sample means would be centered at a larger value. B) The sample means would be centered at the same value. C) The sample means would be centered at a smaller value. 8. If samples of size n = 30 had been used instead of n = 50, which of the following would be true? A) The sample means would have more variability. B) The variability in the sample statistics would be about the same. C) The sample means would have less variability.

Lucas F.

distribution-below-shows-sample-means-from-samples-of-size-n50-from-some-population-the-sampling-3-pts-what-does-one-dot-on-the-sampling-distribution-represent-if-samples-of-size-n-30-had-be-18533

7. The sampling distribution below shows sample means from samples of size n=50 from some population. a. What does one dot on the sampling distribution represent? b. If samples of size n=30 had been used instead of n=50, which of the following would be true? (Circle one.) i. The sample means would have more variability. ii. The variability in the sample means would be about the same. iii. The sample means would have less variability. c. If samples of size n=30 had been used instead of n=50, which of the following would be true? (Circle one.) i. The sample means would be centered at a larger value. ii. The sample means would be centered at the same value. iii. The sample means would be centered at a smaller value.

Katy G.

a-probability-distribution-of-all-possible-sample-means-for-a-particular-sample-size-is-the-_____-the-mean-of-all-possible-sample-means-is-__________________-the-population-mean-if-we-decrea-06624

A probability distribution of all possible sample means for a particular sample size is the _____. The mean of all possible sample means is __________________ the population mean. If we decrease the sample size from 20 to 10, the standard error of the mean will ________________. If a population follows the normal distribution, what is the shape of the distribution of the sample means? A _____________________ is a single value computed from sample information used to estimate a population parameter. A ________________________ is a range of values within which the population parameter is likely to occur. A _____________________ shows the fraction of a sample that has a particular characteristic. To construct a confidence interval for a mean, the z distribution is used only when the ________________ is known. What is the appropriate Z score for a 78% confidence interval? What is the appropriate Z score for a 62% confidence interval? Word Bank Below: ( population standard deviation) (sampling distribution of the sample mean) (point estimate) (equal to) (0.88) (confidence interval) (increase) (1.23) (normal distribution) (proportion)

Madhur L.


*

Recommended Textbooks

-
Elementary Statistics a Step by Step Approach

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition
achievement 1,682 solutions
The Practice of Statistics for AP

The Practice of Statistics for AP

Daren S. Starnes, Daniel S. Yates, David S. Moore 4th Edition
achievement 1,588 solutions
Introductory Statistics

Introductory Statistics

Barbara Illowsky, Susan Dean 1st Edition
achievement 1,872 solutions

*

Transcript

-
00:01 The first thing that i'm going to note here is that i am missing the graph that is intended to accompany this problem.
00:07 So i'll be doing as much as i can without it.
00:11 So the first thing that i'll note here is that we're asked, what does one dot represent? well, if we're looking at a sampling distribution, a sampling distribution, then one dot, one dot is going to represent the mean value of a sampling distribution.
00:37 For example, sized 50, or size 50.
00:50 For part three, where you're asked to estimate the mean, i really can't do that without having the original graph.
01:00 So i'm just going to skip over that one.
01:04 For part four, so we're asked, and this is another one where, one second here, this is another one where i can't give an exact answer without having the original graph.
01:17 But generally speaking, for asked how likely is x equals something rather, specifically we're told x equals 55 .6 here, the way that we would want to approach this would be if we're looking at our sampling distribution, we would expect that we'd have something that is approximately normal.
01:43 So we might have, let's see here.
01:51 If we have a sampling distribution like this, then for figuring out how, how likely is a particular result? the main question is, how far from the mean is it? we also need to note that if we're looking for probability that a sample mean equals an exact value, we would typically expect that to be pretty small.
02:26 Because when we have a distribution like this, for instance, here with the way that i've drawn this, we can see that we'd be able to figure out the probability of any particular result just by taking the height of that column of dots and dividing it by the total number of dots.
02:45 But generally speaking, if you're looking for a very specific value, i'll put it this way.
02:54 If you're looking for a very specific value, it's going to really depend on the resolution of the information that you're dealing with...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever