Download ges1e_alq_09

Active Learning Lecture Slides
For use with Classroom Response Systems
Essential Statistics:
Exploring the World through Data, 1e
by Gould and Ryan
Chapter 9:
Inferring Population Means
© 2013 Pearson Education, Inc.
Slide 9 - 1
True or False
The accuracy of an estimator is measured
by the standard error.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 2
True or False
The accuracy of an estimator is measured
by the standard error.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 3
True or False
The precision of an estimator is measured
by the bias.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 4
True or False
The precision of an estimator is measured
by the bias.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 5
True or False
A sampling distribution is a probability
distribution of a statistic.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 6
True or False
A sampling distribution is a probability
distribution of a statistic.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 7
True or False
When a statistic of the sampling
distribution is the same value as the
population parameter, we say that the
statistic is an unbiased estimator.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 8
True or False
When a statistic of the sampling
distribution is the same value as the
population parameter, we say that the
statistic is an unbiased estimator.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 9
True or False
The standard deviation of the sampling
distribution is what we call the standard
error.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 10
True or False
The standard deviation of the sampling
distribution is what we call the standard
error.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 11
True or False
The standard error of the sample mean,
gets smaller with larger sample size.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 12
True or False
The standard error of the sample mean,
gets smaller with larger sample size.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 13
True or False
For all populations, the sample mean is
unbiased when estimating the population
mean.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 14
True or False
For all populations, the sample mean is
unbiased when estimating the population
mean.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 15
True or False
When considering the sampling
distribution of the sample mean, the larger
the sample size, n, the better the
approximation.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 16
True or False
When considering the sampling
distribution of the sample mean, the larger
the sample size, n, the better the
approximation.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 17
True or False
When considering the sampling
distribution of the sample mean, if the
population is Normal to begin with, then
the sampling distribution is exactly a
Normal distribution.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 18
True or False
When considering the sampling
distribution of the sample mean, if the
population is Normal to begin with, then
the sampling distribution is exactly a
Normal distribution.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 19
The sample mean is
A. the arithmetic average of a sample of
data
B. an estimate of a population mean
C. unbiased, if the sample is a random
sample
D. all of the above
© 2013 Pearson Education, Inc.
Slide 9 - 20
The sample mean is
A. the arithmetic average of a sample of
data
B. an estimate of a population mean
C. unbiased, if the sample is a random
sample
D. all of the above
© 2013 Pearson Education, Inc.
Slide 9 - 21
The t-distributions are
A.symmetric
B.unimodal
C.“bell-shaped”
D.all of the above
© 2013 Pearson Education, Inc.
Slide 9 - 22
The t-distributions are
A.symmetric
B.unimodal
C.“bell-shaped”
D.all of the above
© 2013 Pearson Education, Inc.
Slide 9 - 23
Compared to the z-distribution, the
t-distribution has
A. thinner tails
B. thicker tails
C. taller peaks
D. more peaks
© 2013 Pearson Education, Inc.
Slide 9 - 24
Compared to the z-distribution, the
t-distribution has
A. thinner tails
B. thicker tails
C. taller peaks
D. more peaks
© 2013 Pearson Education, Inc.
Slide 9 - 25
The t-distribution’s shape depends on only
one parameter, called the
A.mean
B.standard deviation
C.degrees of freedom
D.all of the above
© 2013 Pearson Education, Inc.
Slide 9 - 26
The t-distribution’s shape depends on only
one parameter, called the
A.mean
B.standard deviation
C.degrees of freedom
D.all of the above
© 2013 Pearson Education, Inc.
Slide 9 - 27
True or False
Ultimately, when df is infinitely large, the
t-distribution is exactly the same as the
N(0, 1) distribution.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 28
True or False
Ultimately, when df is infinitely large, the
t-distribution is exactly the same as the
N(0, 1) distribution.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 29
True or False
Confidence intervals are a technique for
communicating an estimate of the mean
along with a measure of our uncertainty in
that estimate.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 30
True or False
Confidence intervals are a technique for
communicating an estimate of the mean
along with a measure of our uncertainty in
that estimate.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 31
True or False
A confidence interval can be interpreted as
a range of plausible values for the
population parameter.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 32
True or False
A confidence interval can be interpreted as
a range of plausible values for the
population parameter.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 33
True or False
The confidence level is a measure of how
well the method used to produce the
confidence interval performs.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 34
True or False
The confidence level is a measure of how
well the method used to produce the
confidence interval performs.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 35
Which of the following are way(s) in which
we can report a confidence interval?
A.(lower boundary, upper boundary)
B.Estimate ± margin of error
C.Mean ± standard deviation
D.both A and B above
© 2013 Pearson Education, Inc.
Slide 9 - 36
Which of the following are way(s) in which
we can report a confidence interval?
A.(lower boundary, upper boundary)
B.Estimate ± margin of error
C.Mean ± standard deviation
D.both A and B above
© 2013 Pearson Education, Inc.
Slide 9 - 37
True or False
Hypotheses are always statements about
population statistics.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 38
True or False
Hypotheses are always statements about
population statistics.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 39
Which of the following value(s) for the
significance level α are good choice(s)?
A.0.01
B.0.05
C.0.10
D.all of the above
© 2013 Pearson Education, Inc.
Slide 9 - 40
Which of the following value(s) for the
significance level α are good choice(s)?
A.0.01
B.0.05
C.0.10
D.all of the above
© 2013 Pearson Education, Inc.
Slide 9 - 41
True or False
The t-statistic measures how far away (how
many standard errors) our observed mean,
, lies from
x the true population value μ.
A.True
B.False
© 2013 Pearson Education, Inc.
Slide 9 - 42
True or False
The t-statistic measures how far away (how
many standard errors) our observed mean,
, lies from
x the true population value μ.
A.True
B.False
© 2013 Pearson Education, Inc.
Slide 9 - 43
True or False
In hypothesis testing, values of the
t-statistic that are far from 0 tend to
discredit the null hypothesis.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 44
True or False
In hypothesis testing, values of the
t-statistic that are far from 0 tend to
discredit the null hypothesis.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 45
True or False
The p-value tells us the probability that we
would get a t-statistic as extreme as or
more extreme than what we observed.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 46
True or False
The p-value tells us the probability that we
would get a t-statistic as extreme as or
more extreme than what we observed.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 47
There are three basic pairs of hypotheses.
The two-tailed one-sample t-test has the
following hypotheses:
A.H0: μ = μ0 and Ha: μ < μ0
B.H0: μ = μ0 and Ha: μ ≠ μ0
C.H0: μ = μ0 and Ha: μ > μ0
D.H0: μ ≠ μ0 and Ha: μ = μ0
© 2013 Pearson Education, Inc.
Slide 8 - 48
There are three basic pairs of hypotheses.
The two-tailed one-sample t-test has the
following hypotheses:
A.H0: μ = μ0 and Ha: μ < μ0
B.H0: μ = μ0 and Ha: μ ≠ μ0
C.H0: μ = μ0 and Ha: μ > μ0
D.H0: μ ≠ μ0 and Ha: μ = μ0
© 2013 Pearson Education, Inc.
Slide 8 - 49
There are three basic pairs of hypotheses.
The one-tailed (left) one-sample t-test has
the following hypotheses:
A.H0: μ = μ0 and Ha: μ < μ0
B.H0: μ = μ0 and Ha: μ ≠ μ0
C.H0: μ = μ0 and Ha: μ > μ0
D.H0: μ ≠ μ0 and Ha: μ = μ0
© 2013 Pearson Education, Inc.
Slide 8 - 50
There are three basic pairs of hypotheses.
The one-tailed (left) one-sample t-test has
the following hypotheses:
A.H0: μ = μ0 and Ha: μ < μ0
B.H0: μ = μ0 and Ha: μ ≠ μ0
C.H0: μ = μ0 and Ha: μ > μ0
D.H0: μ ≠ μ0 and Ha: μ = μ0
© 2013 Pearson Education, Inc.
Slide 8 - 51
There are three basic pairs of hypotheses.
The one-tailed (right) one-sample t-test has
the following hypotheses:
A.H0: μ = μ0 and Ha: μ < μ0
B.H0: μ = μ0 and Ha: μ ≠ μ0
C.H0: μ = μ0 and Ha: μ > μ0
D.H0: μ ≠ μ0 and Ha: μ = μ0
© 2013 Pearson Education, Inc.
Slide 8 - 52
There are three basic pairs of hypotheses.
The one-tailed (right) one-sample t-test has
the following hypotheses:
A.H0: μ = μ0 and Ha: μ < μ0
B.H0: μ = μ0 and Ha: μ ≠ μ0
C.H0: μ = μ0 and Ha: μ > μ0
D.H0: μ ≠ μ0 and Ha: μ = μ0
© 2013 Pearson Education, Inc.
Slide 8 - 53
When comparing two populations, if the
data sampled from the populations are one
sample of related pairs, then the samples
are
A. independent samples
B. paired (dependent) samples
C. paired-independent samples
D. not random samples
© 2013 Pearson Education, Inc.
Slide 9 - 54
When comparing two populations, if the
data sampled from the populations are one
sample of related pairs, then the samples
are
A. independent samples
B. paired (dependent) samples
C. paired-independent samples
D. not random samples
© 2013 Pearson Education, Inc.
Slide 9 - 55
True or False
With paired (dependent) samples, if you
know the value that a subject has in one
group, then you know something about the
other group, too.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 56
True or False
With paired (dependent) samples, if you
know the value that a subject has in one
group, then you know something about the
other group, too.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 57
Which of the following are example(s) of
when dependence occurs?
A.“before and after” comparisons
B.when the objects are related somehow
(comparing twins, siblings, or spouses)
C.when the experimenters have
deliberately matched subjects in the
groups to have similar characteristics
D.all of the above
© 2013 Pearson Education, Inc.
Slide 9 - 58
Which of the following are example(s) of
when dependence occurs?
A.“before and after” comparisons
B.when the objects are related somehow
(comparing twins, siblings, or spouses)
C.when the experimenters have
deliberately matched subjects in the
groups to have similar characteristics
D.all of the above
© 2013 Pearson Education, Inc.
Slide 9 - 59
True or False
With paired samples, we turn two samples
into one. We do this by finding the
difference in each pair.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 60
True or False
With paired samples, we turn two samples
into one. We do this by finding the
difference in each pair.
A. True
B. False
© 2013 Pearson Education, Inc.
Slide 9 - 61