Download Stats Jeopardy – a good final review game

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Transcript
Losing
Confidence
Testing
my patience
Tell me
a tail
Sample
This
Pot-pouri
$100
$100
$100
$100
$100
$200
$200
$200
$200
$200
$300
$300
$300
$300
$300
$400
$400
$400
$400
$400
$500
$500
$500
$500
$500
Final Jeopardy
For $100…
This is half the width of the confidence interval.
The Answer is…
What is the margin of error?
Final Jeopardy
For $200…
This is the probability that the true mean is captured by the
confidence interval.
The Answer is…
What is the confidence level?
Final Jeopardy
For $300…
The margin of error gets smaller as this gets larger.
The Answer is…
What is the sample size?
Final Jeopardy
For $400…
If the standard deviations are unknown when finding the
confidence interval for the difference between two groups,
we would use this type of confidence interval.
The Answer is…
What is a two sample t-interval?
Final Jeopardy
For $500…
This states that if x is from any distribution, the sample
mean of x has an approximately normal distribution.
The Answer is…
What is the Central Limit Theorem?
Final Jeopardy
For $100…
This is a statement of fact, equality, or of the status quo.
The Answer is…
What is the null hypothesis?
Final Jeopardy
For $200…
This is the probability at which we consider something a
rare event.
The Answer is…
What is the significance level?
Final Jeopardy
For $300…
Reject the null hypothesis in favor of the alternative when
this is less than the significance level.
The Answer is…
What is the p-value?
Final Jeopardy
For $400…
This is the distance and direction, in terms of standard
deviations, that a sample mean is from a hypothesized
mean.
The Answer is…
What is the test statistic?
Final Jeopardy
For $500…
This is the probability of a type I error. That is, the
probability we reject the null hypothesis when it is in fact
true.
The Answer is…
What is alpha, or the significance level?
Final Jeopardy
For $100…
This is tail of the test that we would use if we believed the
true mean would be larger than the hypothesized mean.
The Answer is…
What is a right tailed test?
Final Jeopardy
For $200…
This is the area in the tail(s) that is beyond the critical
values.
The Answer is…
What is the significance level or alpha?
Final Jeopardy
For $300…
This is the area in the tail(s) beyond the value of the test
statistic.
The Answer is…
What is the p-value?
Final Jeopardy
For $400…
A confidence interval most closely relates to this type of
test.
The Answer is…
What is a two-tailed test?
Final Jeopardy
For $500…
This is the smallest significance level, alpha, at which we
can reject the null hypothesis.
The Answer is…
What is the p-value?
Final Jeopardy
For $100…
This is the standard deviation of the sample mean.
The Answer is…
What is the standard error or σ/(n)?
Final Jeopardy
For $200…
This is the distribution we must use if the true standard
deviation is unknown.
The Answer is…
What is the t-distribution?
Final Jeopardy
For $300…
What is the expected value of the sample mean?
The Answer is…
What is the true mean?
Final Jeopardy
For $400…
This is the error in using a statistic to estimate a parameter.
The Answer is…
What is sampling error?
Final Jeopardy
For $500…
This parameter completely defines a t-distribution.
Equivalently, this is the information we need to find
probabilities for a t-distribution.
The Answer is…
What are degrees of freedom?
Final Jeopardy
For $100…
We would use this type of hypothesis test to test for a
difference between two groups with different, unknown
standard deviations.
The Answer is…
What is a non-pooled two sample t-test?
Final Jeopardy
For $200…
We would use this inferential procedure if we wanted a
probable range for a value of the true mean.
The Answer is…
What is a confidence interval?
Final Jeopardy
For $300…
For comparing two populations using a sample of size 50
from the first population and a sample of size 72 from the
second, this is the number degrees of freedom that we
would use to compare these two populations using the t
distribution.
The Answer is…
What is 49?
Final Jeopardy
For $400…
What is the value at the center of the confidence interval
The Answer is…
What is the sample mean?
Final Jeopardy
For $500…
This is the pseudonym under which William Gosset
published while working for the Guiness Brewery
The Answer is…
What is Student?
Final Jeopardy
FINAL JEOPARDY
For $1000 and the game…
For two populations we find two separate samples. For
sample one, the sample size, mean and variance are 21,
51.48, and 121.22, respectively. For sample two, the sample
size, mean and variance are 23, 41.52, and 294.1225,
respectively. This is the test statistic and decision for a test
that these populations have different means at =.05.
The Answer is…
What is t=2.31 and reject the null since critical value is 2.086?
Final Jeopardy
CONGRATULATIONS!!!
Final Jeopardy
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