4. Explain the differences between the population distribution, the distribution of a sample, and a sampling distribution., use a sample to described it.
Population Distribution is a form of probability distribution that measures the frequency with which the variables that make up the population are drawn for a given research study.
The sample is the representative of the population from where it is drawn. The distribution of a sample measures the frequency with which the number of subjects that make up the sample is actually drawn for a given research study.
The sampling distribution of a statistic is the distribution of that statistic, considered as a random variable, when derived from a random sample size n.
EXAMPLE:
Consider a research study involving average height of all the 2000
students of a college.
The distribution of the height of all the 2000 students is the population distribution.
Suppose we draw a sample of 100 students from this population. The distribution of heights of these 100 students is the distribution of a sample.
Suppose we draw a sample of size n from this population. The distribution of the average height of 100 students of each of the n samples is the sampling distribution of the statistic.
4. Explain the differences between the population distribution, the distribution of a sample, and a sampling...
Explain the differences between a sample and a population
Mean of Sampling Distribution of "Xbar1 - Xbar2" (Mean of all the sample differences) is equal to "Population Mean 1 - Population Mean 2" True False
If the distribution of the population is bimodal, then the sampling distribution for the sample means for this population with sample size 50 will be unimodal. True False
Explain in detail and in your own words, the concept of a sampling distribution and how this concept is used in testing significant differences between two population means when the standard deviations of the population are known and then unknown.
Discuss a sampling distribution by describing 1. A population, 2. A variable on the individuals in that population, 3. a standard deviation for that variable, and 4. the size of a sample from that population. Compare the 5. center, 6. variability, and 7. shape of the sampling distribution of the mean of that sample with those of the population distribution. What does the sampling distribution tell us about the population?
1. Define population, sample, and sampling. 15 pts 2. Define the five non-probability sampling methods. 15 pts 3. Define the four common probability sampling methods. 15 pts 4. Describe some advantages and disadvantages of each sampling method and why you would choose to utilize each. 25 pts 5. Describe the differences between qualitative and quantitative research sampling. 15 pts 6. Describe the differences between qualitative and quantitative research sample size. 15 pts
Which of the following is an accurate statement regarding sampling distribution? A. Each population exception rate and sample size has the same sampling distribution. B. Sampling distributions allow the auditor to make probability statements about the likely representativeness of any sample that is in the distribution. C. Auditors cannot use sampling distributions to draw statistical conclusions about the unknown population being sampled. D. A sampling distribution is a sample with characteristics the same as those of the population.
For the following, circle true or false and if false, explain why. A) The sampling distribution of sample means is normally distributed when the population has any distribution and the sample size is less than or equal to 30. TRUE or FALSE B) The sampling distribution of sample means is normally distributed when the population is normally distributed and the sample is any size. TRUE or FALSE
According to the central limit theorem, for any population, the sampling distribution of the sample mean x bar is approximately normal if A. sample size is n >=30 B. population mean is known C. population standard deviation is known D. underlying sample is normal.
A sampling distribution is constructed based on a sample size of 25. If the sampling distribution has a mean of 500 and a standard error of 15, what is the standard deviation of the original comparison population? A. 60 B. 75 C. 30 D. 50