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Stats Exam 2
Baylor STA 3381 Exam 2-Dr. Young
20
Mathematics
Undergraduate 3
05/08/2014

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Term
In order to control both Type I and Type II errors in a statistical test for a population mean, one must:
Definition
determine a sufficiently large sample size based for the desired α and β values
Term
If an estimator has the property that, the larger the sample size, the more likely it is that the estimate will be close to the population characteristic being estimated, that estimator is said to be:
Definition
consistent
Term
The precision of an interval estimator for a given confidence coefficient is indicated by:
Definition
the width of the confidence interval
Term
For testing hypotheses concerning the difference of two population means, one cannot just compare the two associated sample means because
Definition
the sameple means may be different even thouhg the population means are equal due to sampling error
Term
A statistical test is always performed under the assumption that the ____ hypothesis is true.
Definition
null
Term
p-value
Definition
the probability of getting the resulting value of the test statistic that is found, or one more rare, if, in fact, the null hypothesis is true
Term
null distribution
Definition
the distribution of the test statistic if, in fact, the null hypothesis is true
Term
The significance level (α)
Definition
in statistical hypothesis testing, it is the definition of a rare event
Term
Defining the probability of a rare event and the probability of making a Type I error should be performed ______ conducting a statistical hypothesis test.
Definition
before
Term
The ______ of an estimator is reflected in the width of a confidence interval determined from the estimator and its sampling distribution.
Definition
precision
Term
For a _______, both the probability of a Type I error and the probability of making a Type II error, cannot be simultaneously decreased.
Definition
fixed sample size
Term
One can simultaneously ______ the width of a confidence interval and ______ the confidence level.
Definition
decrease; increase
Term
For a fixed value of α, increasing the ________ reduces the probability of making a Type II error.
Definition
sample size
Term
In hypotheses testing, whatever you're trying to support going in the ________ hypothese.
Definition
alternative
Term
To reject the null hypothesis, our p-value must be less than _____.
Definition
α
Term
Q-Q Plot
Definition
Plots the quantiles of the data against quantiles of normal distribution. You want a straight line. However, if you do not get a straight line, this means the distribution is NOT normal, which means our results of the data concerning the hypotheses may be invalid.
Term
Type I Error (α)
Definition
-Rejecting Ho when you should not
-This happens when you get an unrepresented sample
Term
Type II Error (β)
Definition
Fail to reject Ho when you should have rejected it
Term
For a fixed sample size, _____ and _____ are inversely proportionate.
Definition
α; β
Term
Having a smaller sample size decreases the likelihood of rejecting Ho, but increases the likelihood of making a ______.
Definition
Type II Error
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