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20 Cards in this Set

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What is the formula for sampling error?
x bar - mean
What are the properties of the Sampling Distribution?
- Suppose all possible samples of size n are selected from a specified population, and the mean of each sample is computed.
-The mean of all the sample means is exactly equal to the population mean
-if the population from which the samples are drawn is normal, the distribution of the sample means is also normally distributed
-if the population from which the samples are drawn is not normal, the sampling distribution is approximately normal if the samples are sufficiently large
What is a Point Estimate?
- a point estimate is a single statistic used to estimate a population parameter
-be close to the population parameter
What is the Confidence interval?
- the range of values constructed from sample data so that the parameter occurs within that range at a specified probability
Alpha is usually what?
-.01, .05, and .10
- a number between 0 and 1
-Level of Significance
What is the level of confidence formula?
it is 1 - alpha
-
What is the relationships to the interval level and confidence level?
Larger CL Wider Interval
Smaller CL Smaller Interval
What is the condition to use the z table or the t distribution?
- sigma know than z tables
- sigma unknown than t distribution
What are the assumptions for z tables?
-random sample
-normality or large sample
-variance or standard deviation of population is known
How is lower bound shown?
negative x bar in front of the formula
How is upper bound shown?
postive x bar in from of the z forumula
What is the T distribution?
-used when population standard deviation is not known
- big S instead of the sigma
What are the assumptions of the T distribution?
-Random Sampling
-Population is normal or near normal
-Variance is Not known
What are the characterisitics of a T distribution?
-Continous Distribution
-Bell Shaped
-Symmetrical
-Asymptotic
-Mean of Zero
-< sample size and > Standard Deviation the flatter the distribution
What is the difference between t distribution and standard normal distribution?
- wider tales
- is flatter than normal distribution if the sample size is small
What is the T distribution?
-used when population standard deviation is not known
- big S instead of the sigma
What are the assumptions of the T distribution?
-Random Sampling
-Population is normal or near normal
-Variance is Not known
What are the characterisitics of a T distribution?
-Continous Distribution
-Bell Shaped
-Symmetrical
-Asymptotic
-Mean of Zero
-< sample size and > Standard Deviation the flatter the distribution
What is the difference between t distribution and standard normal distribution?
- wider tales
- is flatter than normal distribution if the sample size is small
What are the assumptions for a Confidence interval for a proportion?
1. Random Sampling
2. Population follows a binomial distribution
3. n * pi > 10 and n(1-pi)>10