Sampling Distributions for Proportions and Means
Über den Vortrag
Der Vortrag „Sampling Distributions for Proportions and Means“ von David Spade, PhD ist Bestandteil des Kurses „Learn Statistics - Become Data Smart“. Der Vortrag ist dabei in folgende Kapitel unterteilt:
- Sampling distributions for proportions and means
- Using the Normal Model for Proportions
- The Central Limit Theorem
- Illustrating the Normal Curve at Work
Quiz zum Vortrag
Which statement accurately describes a sampling distribution?
- The sampling distribution refers to the distribution of the statistic calculated from many random samples of the same size.
- The sampling distribution refers to the distribution of the individual values in a random sample.
- The sampling refers to the value of the statistic obtained from one sample.
- The sampling distribution and the distribution of individual values are the same for any sample size.
- The sampling distribution refers to the standard deviation of the statistic calculated from many random samples of different sizes.
What is not one of the conditions necessary for the normal model to approximate the distribution of a sample proportion?
- The sample size must be at least 10% of the population size.
- The individuals in the sample must be independent of each other.
- We must have an expectation of at least 10 successes.
- We must have an expectation of at least 10 failures.
- We must have at least 10 more successes than failures.
What is not true regarding the central limit theorem?
- The central limit theorem requires that the population distribution is normal.
- The central limit theorem states that the sampling distribution of the sample mean gets closer to the normal distribution as the sample size gets larger.
- The central limit theorem relies on the assumption that our sample is drawn randomly.
- The central limit theorem states that the variation in the sample mean is smaller than the variation in individual values.
- The sample size must be smaller than 10% of the population size.
Consider a random sample of size 100 with a mean of 5 and a standard deviation of 10. What are the mean and the standard deviation of the distribution of the sample mean?
- The mean is 5 and the standard deviation is 1.
- The mean is 5 and the standard deviation is 10.
- The mean is 5 and the standard deviation is 0.1.
- The mean is 0 and the standard deviation is 1.
- The mean is 100 and the standard deviation is 1.
What is true regarding the sampling distributions of means and proportions?
- The use of the normal model as an approximation to the sampling distribution of the mean works well for small samples, provided that the underlying distribution looks fairly close to normal.
- The use of the normal model as an approximation to the sampling distribution of the mean works well for small samples from highly skewed distributions.
- The use of the normal model as an approximation to the sampling distribution of the mean or proportion works well even when the data is not independent.
- The sampling distribution is the same as the distribution of the sample.
- The use of the normal model as an approximation of the sampling distribution of the mean works best for medium-sized samples.
If the population size is 10,000 then what sample size is required to meet the 10% condition?
- 1,000
- 10
- 100
- 10,000
- 500
In which case is the success/failure condition met?
- N= 25, P= 0.5
- N= 18, P= 0.5
- N= 8, P= 0.5
- N= 2, P= 0.5
- N= 1, P= 0.5
According to the central limit theorem, what sample size is sufficient to assume that the data is normally distributed?
- 30
- 40
- 20
- 15
- 10
Dozent des Vortrages Sampling Distributions for Proportions and Means
David Spade, PhD
Dr. David Spade is an Assistant Professor of Mathematical Sciences and Statistics at the University of Wisconsin-Milwaukee and holds a courtesy appointment as an Assistant Professor of Statistics at the University of Missouri-Kansas City, USA.
He obtained his MS in Statistics in 2010 and then completed his PhD in Statistics from Ohio State University in 2013.
An experienced mathemathics instructor, Dr. Spade has been teaching diverse statistics courses from the introductory to the graduate level since 2007.
Within Lecturio, he teaches courses on Statistics.
Kundenrezensionen
5,0 von 5 Sternen
| 5 Sterne |
|
5 |
| 4 Sterne |
|
0 |
| 3 Sterne |
|
0 |
| 2 Sterne |
|
0 |
| 1 Stern |
|
0 |
