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In a left-tailed test comparing two means with variances
unknown but assumed to be equal, the sample sizes were n1 = 8
and n2 = 12. At α = .05, the critical value would be:
-1.645
-2.101
-1.734
-1.960
In the t test for independent groups, ____.
we estimate µ2
we estimate
we estimate X1-X2
df = N 1
Exhibit 14-1
A professor of women's studies is interested in determining if
stress affects the menstrual cycle. Ten women are randomly
sampled for an experiment and randomly divided into two
groups. One of the groups is subjected to high stress for two
months while the other lives in a relatively stress-free
environment. The professor measures the menstrual cycle (in
days) of each woman during the second month. The following
data are obtained.
High stress
20
23
18
19
22
Relatively stress free
26
31
25
26
30
Refer to Exhibit 14-1. The obtained value of the appropriate
statistic is ____.
tobt =
tobt =
tobt =
tobt =
Refer to Exhibit 14-1. The df for determining tcrit are ____.
4
9
8
3
Refer to Exhibit 14-1. Using = .052 tail, tcrit = ____.
+2.162
+2.506
±2.462
±2.306
Refer to Exhibit 14-1. Using = .052 tail, your conclusion is
____.
accept H0; stress does not affect the menstrual cycle
retain H0; we cannot conclude that stress affects the menstrual
cycle
retain H0; stress affects the menstrual cycle
reject H0; stress affects the menstrual cycle
Refer to Exhibit 14-1. Estimate the size of the effect. = ____
0.8102
0.6810
0.4322
0.5776
A major advantage to using a two condition experiment (e.g.
control and experimental groups) is ____.
the test has more power
the data are easier to analyze
the experiment does not need to know population parameters
the test has less power
Which of the following tests analyzes the difference between
the means of two independent samples?
correlated t test
t test for independent groups
sign test
test of variance
If n1 = n2 and n is relatively large, then the t test is relatively
robust against ____.
violations of the assumptions of homogeneity of variance and
normality
violations of random samples
traffic violations
violations by the forces of evil
Exhibit 14-3
Five students were tested before and after taking a class to
improve their study habits. They were given articles to read
which contained a known number of facts in each story. After
the story each student listed as many facts as he/she could
recall. The following data was recorded.
Before
10
12
14
16
12
After
15
14
17
17
20
Refer to Exhibit 14-3. The obtained value of the appropriate
statistic is ____.
3.92
3.06
4.12
2.58
Refer to Exhibit 14-3. What do you conclude using = 0.052
tail?
reject H0; the class appeared to improve study habits
retain H0; the class had no effect on study habits
retain H0; we cannot conclude that the class improved study
habits
accept H0; the class appeared to improve study habits
Which of the following is (are) assumption(s) underlying the
use of the F test?
the raw score populations are normally distributed
the variances of the raw score populations are the same
the mean of the populations differ
the raw score populations are normally distributed and the
variances of the raw score populations are the same
If its assumptions are met, the analysis of variance technique is
appropriate when ____.
two or more factors are varied
several levels of a single independent variable are compared
three or more groups are involved
all of the other three options
A major limitation of a two group design is that ____.
we can't run enough subjects
very often, two groups are insufficient for a clear interpretation
the population parameters may not be applicable
the means between groups may not differ
sB2 is a measure of ____.
alone
+ the effects of the independent variable
the variability between the means
+ the effects of the independent variable and the variability
between the means
The total degrees of freedom for an experiment with n1 =
10, n2 = 12, and n3 = 10 is ____.
2
32
31
29
Exhibit 15-3
Pertain to the following data.
Refer to Exhibit 15-3. What is the value of Fobt?
5.67
6.53
1.95
3.26
Refer to Exhibit 15-3. What is the value of Fcrit ? Use =
0.05.
5.14
4.76
4.46
4.07
Refer to Exhibit 15-3. What is your conclusion? Again use =
0.05
retain H0
reject H1
reject H0
accept H0
Refer to Exhibit 15-3. Using , the estimated size of effect is
____.
22.6% of the variability
52.8% of the variability
43.6% of the variability
55.1% of the variability
Refer to Exhibit 15-3. Using 2, what is the estimated size of
effect?
0.7232
0.6852
0.6582
0.6312
What is the value of SST if SSB = 236 and SSW = 54?
290
182
4.37
100
By doing multiple t tests when there are more than 2
experimental groups we increase the risk of making what kind
of mistake?
accepting H0
Type I error
Type II error
all of the other three options
If = 46, = 50, = 92 and n1 = n2 = n3, what is the value of ?
cannot be determined from information given
50.0
188.0
62.67
If SSW = 126, N = 28, k = 4, then what is the value of sW2
cannot be determined from information given
5.25
42.0
4.667
If dfB = 3 and dfT = 29 and Fobt = 3.15, what would you
conclude using = 0.05?
reject H0
reject H1
retain H0
retain H1
If sB2 = 27.9 and sW2 = 54.2, what is the value of Fobt?
impossible result, there must be an error
1.94
0.51
2.76
A priori comparisons ____.
are planned in advance of the experiment
often arise out of theory and prior research
may be done without obtaining a significant Fobt in the one-way
ANOVA
all of the other three options
Chi-square is used to test differences between ____.
proportions
means
variances
none of the other three options
The sampling distribution of chi-square is ____.
skewed
varies with df
is a theoretical distribution
all of the other three options
A contingency table ____.
is a two-way table
involves two variables
involves two mutually exclusive variables
is a two-way table and involves two variables
The computation of fe ____.
is based on population proportion estimates
is based on known population proportions
is based on population means
none of the other three options
If N = 18 and = 0.052 tailed, the value of Tcrit is ____.
40
47
If = 0.05, and df = 4, the value of = ____.
9.488
0.711
7.815
11.070
Exhibit 17-1
Prior to a recent gubernatorial election, a survey was conducted
to determine whether there was a relationship between sexual
gender and preference for the Democratic or Republican
candidate. The following data were recorded.
Refer to Exhibit 17-1. The value of = ____.
2.06
2.09
1.80
1.75
Refer to Exhibit 17-1. The value of df = ____.
2
1
3
need more information
Refer to Exhibit 17-1. Using = 0.05, = ____.
3.841
5.412
2.706
Refer to Exhibit 17-1. Using = 0.05, what is your conclusion?
accept H0; there is no relationship between sex and candidate
preference
reject H0; there is a significant relationship between sex and
candidate preference
retain H0; the study does not show a significant relationship
between sex and candidate preference
retain H0; this study shows a significant relationship between
sex and candidate preference
As the separation between the two groups of scores
increases, Uobt ____.
increases
decreases
stays the same
approaches
The statistics (U or U') used in the Mann-Whitney U test,
measure ____.
the differences between the means of the two groups
the direction of the differences between pairs of scores
the power of the experiment
the separation between the two groups
If n1 = 6, n2 = 8 and = 0.052 tail, Ucrit value is ____.
8
40
6
42
The Mann-Whitney U test is used with ____.
an independent groups design
a replicated measures design
a correlated groups design
none of the other three options
Using SPSS, the appropriate steps to analyze data for student’s t
test for correlated groups are _________
Compare Means > Paired Sample t test > Before_C > After_C
Analyze > Compare Means > Paired Sample t test > After_C >
Before_C
Analyze > Compare Means > Paired Sample t test > Before_C >
After_C
Analyze > Compare Means > Before_C > After_C
In SPSS, the results of analysing data for student’s t test are
displayed ____.
in a graph
in a number of tables
as a stem and leaf
in a histogram
In SPSS, the appropriate steps to analyze data for a one-way
ANOVA are ____.
you cannot perform ANOVA in SPSS
One-Way ANOVA >Analyze > Compare Means
Compare Means > One-Way ANOVA
Analyze > Compare Means > One-Way ANOVA
In SPSS, when you follow the steps to perform one-way
ANOVA, ____.
you will not be given the option to compute “descriptive
statistics”
you will be given the option to compute “descriptive statistics”
you will be given the option to compute “descriptive
statistics”, but you have to open a new file
you will be given the option to compute “descriptive
statistics”, but you have to restart SPSS

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In a left-tailed test comparing two means with variances unknown b.docx

  • 1. In a left-tailed test comparing two means with variances unknown but assumed to be equal, the sample sizes were n1 = 8 and n2 = 12. At α = .05, the critical value would be: -1.645 -2.101 -1.734 -1.960 In the t test for independent groups, ____. we estimate µ2 we estimate we estimate X1-X2 df = N 1 Exhibit 14-1 A professor of women's studies is interested in determining if stress affects the menstrual cycle. Ten women are randomly sampled for an experiment and randomly divided into two groups. One of the groups is subjected to high stress for two months while the other lives in a relatively stress-free environment. The professor measures the menstrual cycle (in days) of each woman during the second month. The following data are obtained. High stress 20 23 18 19 22
  • 2. Relatively stress free 26 31 25 26 30 Refer to Exhibit 14-1. The obtained value of the appropriate statistic is ____. tobt = tobt = tobt = tobt = Refer to Exhibit 14-1. The df for determining tcrit are ____. 4 9 8 3 Refer to Exhibit 14-1. Using = .052 tail, tcrit = ____.
  • 3. +2.162 +2.506 ±2.462 ±2.306 Refer to Exhibit 14-1. Using = .052 tail, your conclusion is ____. accept H0; stress does not affect the menstrual cycle retain H0; we cannot conclude that stress affects the menstrual cycle retain H0; stress affects the menstrual cycle reject H0; stress affects the menstrual cycle Refer to Exhibit 14-1. Estimate the size of the effect. = ____ 0.8102 0.6810 0.4322 0.5776 A major advantage to using a two condition experiment (e.g. control and experimental groups) is ____.
  • 4. the test has more power the data are easier to analyze the experiment does not need to know population parameters the test has less power Which of the following tests analyzes the difference between the means of two independent samples? correlated t test t test for independent groups sign test test of variance If n1 = n2 and n is relatively large, then the t test is relatively robust against ____. violations of the assumptions of homogeneity of variance and normality violations of random samples traffic violations violations by the forces of evil Exhibit 14-3
  • 5. Five students were tested before and after taking a class to improve their study habits. They were given articles to read which contained a known number of facts in each story. After the story each student listed as many facts as he/she could recall. The following data was recorded. Before 10 12 14 16 12 After 15 14 17 17 20 Refer to Exhibit 14-3. The obtained value of the appropriate statistic is ____. 3.92 3.06 4.12 2.58
  • 6. Refer to Exhibit 14-3. What do you conclude using = 0.052 tail? reject H0; the class appeared to improve study habits retain H0; the class had no effect on study habits retain H0; we cannot conclude that the class improved study habits accept H0; the class appeared to improve study habits Which of the following is (are) assumption(s) underlying the use of the F test? the raw score populations are normally distributed the variances of the raw score populations are the same the mean of the populations differ the raw score populations are normally distributed and the variances of the raw score populations are the same If its assumptions are met, the analysis of variance technique is appropriate when ____. two or more factors are varied several levels of a single independent variable are compared three or more groups are involved all of the other three options A major limitation of a two group design is that ____.
  • 7. we can't run enough subjects very often, two groups are insufficient for a clear interpretation the population parameters may not be applicable the means between groups may not differ sB2 is a measure of ____. alone + the effects of the independent variable the variability between the means + the effects of the independent variable and the variability between the means The total degrees of freedom for an experiment with n1 = 10, n2 = 12, and n3 = 10 is ____. 2 32 31 29 Exhibit 15-3 Pertain to the following data. Refer to Exhibit 15-3. What is the value of Fobt?
  • 8. 5.67 6.53 1.95 3.26 Refer to Exhibit 15-3. What is the value of Fcrit ? Use = 0.05. 5.14 4.76 4.46 4.07 Refer to Exhibit 15-3. What is your conclusion? Again use = 0.05 retain H0 reject H1 reject H0 accept H0 Refer to Exhibit 15-3. Using , the estimated size of effect is ____.
  • 9. 22.6% of the variability 52.8% of the variability 43.6% of the variability 55.1% of the variability Refer to Exhibit 15-3. Using 2, what is the estimated size of effect? 0.7232 0.6852 0.6582 0.6312 What is the value of SST if SSB = 236 and SSW = 54? 290 182 4.37 100 By doing multiple t tests when there are more than 2 experimental groups we increase the risk of making what kind of mistake? accepting H0 Type I error
  • 10. Type II error all of the other three options If = 46, = 50, = 92 and n1 = n2 = n3, what is the value of ? cannot be determined from information given 50.0 188.0 62.67 If SSW = 126, N = 28, k = 4, then what is the value of sW2 cannot be determined from information given 5.25 42.0 4.667 If dfB = 3 and dfT = 29 and Fobt = 3.15, what would you conclude using = 0.05? reject H0 reject H1 retain H0 retain H1
  • 11. If sB2 = 27.9 and sW2 = 54.2, what is the value of Fobt? impossible result, there must be an error 1.94 0.51 2.76 A priori comparisons ____. are planned in advance of the experiment often arise out of theory and prior research may be done without obtaining a significant Fobt in the one-way ANOVA all of the other three options Chi-square is used to test differences between ____. proportions means variances none of the other three options The sampling distribution of chi-square is ____. skewed varies with df
  • 12. is a theoretical distribution all of the other three options A contingency table ____. is a two-way table involves two variables involves two mutually exclusive variables is a two-way table and involves two variables The computation of fe ____. is based on population proportion estimates is based on known population proportions is based on population means none of the other three options If N = 18 and = 0.052 tailed, the value of Tcrit is ____. 40 47 If = 0.05, and df = 4, the value of = ____.
  • 13. 9.488 0.711 7.815 11.070 Exhibit 17-1 Prior to a recent gubernatorial election, a survey was conducted to determine whether there was a relationship between sexual gender and preference for the Democratic or Republican candidate. The following data were recorded. Refer to Exhibit 17-1. The value of = ____. 2.06 2.09 1.80 1.75 Refer to Exhibit 17-1. The value of df = ____. 2 1
  • 14. 3 need more information Refer to Exhibit 17-1. Using = 0.05, = ____. 3.841 5.412 2.706 Refer to Exhibit 17-1. Using = 0.05, what is your conclusion? accept H0; there is no relationship between sex and candidate preference reject H0; there is a significant relationship between sex and candidate preference retain H0; the study does not show a significant relationship between sex and candidate preference retain H0; this study shows a significant relationship between sex and candidate preference As the separation between the two groups of scores increases, Uobt ____. increases decreases stays the same
  • 15. approaches The statistics (U or U') used in the Mann-Whitney U test, measure ____. the differences between the means of the two groups the direction of the differences between pairs of scores the power of the experiment the separation between the two groups If n1 = 6, n2 = 8 and = 0.052 tail, Ucrit value is ____. 8 40 6 42 The Mann-Whitney U test is used with ____. an independent groups design a replicated measures design a correlated groups design none of the other three options Using SPSS, the appropriate steps to analyze data for student’s t test for correlated groups are _________
  • 16. Compare Means > Paired Sample t test > Before_C > After_C Analyze > Compare Means > Paired Sample t test > After_C > Before_C Analyze > Compare Means > Paired Sample t test > Before_C > After_C Analyze > Compare Means > Before_C > After_C In SPSS, the results of analysing data for student’s t test are displayed ____. in a graph in a number of tables as a stem and leaf in a histogram In SPSS, the appropriate steps to analyze data for a one-way ANOVA are ____. you cannot perform ANOVA in SPSS One-Way ANOVA >Analyze > Compare Means Compare Means > One-Way ANOVA Analyze > Compare Means > One-Way ANOVA In SPSS, when you follow the steps to perform one-way ANOVA, ____. you will not be given the option to compute “descriptive
  • 17. statistics” you will be given the option to compute “descriptive statistics” you will be given the option to compute “descriptive statistics”, but you have to open a new file you will be given the option to compute “descriptive statistics”, but you have to restart SPSS