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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(1pi)>10 