Sampling Distributions
To estimate a parameter, use this, calculated from a sample
What is a statistic?
The value of a statistic from a sample is called this.
What is a point estimator?
The type of significance test used for the mean of a single population when the standard deviation of the population is unknown.
What is a T test (or T procedure)?
The conditions to use this test include all expected counts be greater than or equal to 1 and no more than 20% of all the expected counts be less than 5.
What is the goodness of fit (or chi-square) test?
This other inference method could be used for a two-sided t-test for means with a significance level of .1.
What is a 90% Confidence interval for sample means?
This is the normal condition for sample proportions
np > 10 and n(1-p) > 10?
The overall success rate of the method for calculating the confidence interval.
What is the confidence level?
When you fail to reject the null when the null is false, it is possible to make this type of error.
What is a Type 2 Error?
b +/- t*SE sub b
What is the confidence interval for slope beta of a true regression line?
The formula to calculate the one-sample z statistic.
What is z = (x bar minus mu sub o) divided by (sigma divided by the square root of n) ?
This says that when n is large, the sampling distribution of the sample mean of x-bar is approximately normal
What is the Central Limit Theorem?
the interpretation of a 95% confidence interval is
a) There is a 95% chance that we captured the true population parameter
b) If we repeated this process many many times, 95% of samples would contain the confidence interval.
c) If we repeated this process many many times, we would capture the true population parameter in 95% of the calculated confidence intervals.
d) There is a 95% chance that the confidence interval that we created captures the population in 95% of the samples that were taken over 95% of the time we created them.
c
When performing a 1-sample t-test for sample means, you must know the degrees of freedom is this.
What is n-1?
Chi-Squared=this
a) sum of (observed-expecteded)/observed
b) sum of (observed-expected)2/observed
c) sum of (observed-expected)/expected
d) sum of (observed-expected)2/expected
what is d?
To see if there is an association between gender and driving speed, this test might be used.
What is a Chi-Squared test for association?
The Normal Condition for sample means.
what is n > 30 ?
Multiplying these together gives you the Margin of Error for the Confidence Interval.
what are the critical value and the standard error of the statistic?
a p-value of .02 at a significance level of .01 would yield this conclusion.
Fail to reject the null.
The expected count when doing a Chi-Squared test for homogeneity.
What is (row total)(column total)/(table total)?
Two of the conditions to be verified for inference about a proportion.
What are the population size be greater than or equal to 10n and n times p hat & n times (1 - p hat) be greater than or equal to 10? (SRS could also be one of the two)
To ensure that the observations in the sample are close to independent, it is important to check this condition.
What is the 10 % condition?
This is the only confidence interval that uses a z-score for a critical value
what is an interval for proportions?
Supposing the H0 is true , this is the probability the statistic will take a value at least as extreme as the observed result in the direction specified by Ha.
What is p-value?
lny = a + bx is an example of this kind of linear transformation to sample data.
What is an exponential model?
When performing this test, the degrees of freedom are n-2.
What is Significance test for the slope of the population regression line?