What is the purpose of a t-test?

Assess differences between groups

Why is t-statistic essential in hypothesis testing?

Unknown population standard deviation

What is the role of degrees of freedom?

Influences t-distribution shape

What does a 95% confidence interval not including 0 suggest?

Statistically significant difference

What is the estimated standard error used for?

Unknown population standard deviation

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PSYC 3010 Chapter 5A + PSYC 3010 Chap 6A + PSYC 3010 Chapter 7A + PSYC 3010 Chapter 8A + PSYC 3

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Questions 187

Answers

1
What is the standard deviation in History?
5
15
10
20
2
What is the mean difference symbol?
λD
σD
μD
ρD
3
What is the effect of outliers on correlation?
Distorts value
Increases accuracy
Reduces variability
No effect
4
What does a large difference score imply?
Random chance
Significant effect
High variability
No effect
5
What is the main advantage of between-subjects design?
Controls individual differences
Fewer participants needed
Complex data analysis
Reduces order effects
6
What is the purpose of a t-test?
Assess differences between groups
Measure population variance
Calculate z-score
Estimate sample size
7
What influences the shape of t-distribution?
Degrees of freedom
Sample size
Population mean
Sample mean
8
What is the formula for standard error?
s - n
s /√n
s × n
s + n
9
What does a smaller standard deviation indicate?
High variability
Data close to mean
Data far from mean
Low accuracy
10
What is the main goal of using ANOVA in research?
To evaluate sample sizes
To compare multiple groups
To analyze individual data
To confirm hypotheses
11
What is the significance level typically set at in ANOVA?
0.15
0.01
0.10
0.05
12
What is the role of degrees of freedom in ANOVA?
Measure sample size
Assess individual scores
Determine group means
Calculate variance
13
What does t statistic measure?
Strength of change
Sample size
Mean score
Variance
14
What is the t distribution used for?
Test hypotheses
Measure error
Calculate variance
Estimate mean
15
How does sample size affect standard error?
Larger size, smaller error
Larger size, larger error
No effect
Inverse relationship
16
What is the purpose of z-scores?
Calculate mean
Standardize distributions
Find median
Determine mode
17
What is the variability of sample means?
Mean error
Standard error
Random error
Standard deviation
18
What is the role of standard error?
Mean of sample
Size of sample
Accuracy of sample
Probability of sample
19
What is a key feature of within-subjects design?
Minimizes carryover effects
Different groups per condition
Participants serve as control
Requires more participants
20
What does the z-score define?
Mode of distribution
Sections of distribution
Mean of distribution
Variance of distribution
21
What is the role of sample means?
Calculate standard error
Predict population mean
Summarize data set
Determine sample size
22
What is the z-score for a grade of 80?
+1
+2
-1
0
23
What is the purpose of hypothesis testing in ANOVA?
To measure individual scores
To evaluate group differences
To assess sample size
To confirm results
24
What does a strong positive correlation suggest?
Variables are unrelated
Variables are negatively related
Variables are independent
Variables move together
25
What defines a z-score?
Sample size
Mean value
Standard deviation
Probability
26
What is Alice's z-score in Mathematics?
1.33
1.5
1.0
2.0
27
What is the jury analogy in hypothesis testing?
Data collection
Error analysis
Sample selection
Decision-making process
28
What does the term 'factor' refer to in ANOVA?
Control variable
Random variable
Independent variable
Dependent variable
29
How does t-distribution differ from normal distribution?
More spread out
Narrower peak
Less spread out
Identical shape
30
What is a key assumption for using t-statistic?
Known population mean
Independent samples
Equal sample sizes
Dependent samples
31
What does a Type I error imply?
Correct hypothesis accepted
True null hypothesis rejected
False null hypothesis accepted
Incorrect hypothesis rejected
32
What is the significance level often set at?
0.05
0.01
0.50
0.10
33
Which constant is used in normal distribution equation?
e
μ
π
σ
34
Why is t-statistic essential in hypothesis testing?
Large sample size
Known population variance
Known sample mean
Unknown population standard deviation
35
What does pooled variance account for?
Standard error
Equal sample sizes
Mean differences
Sample size differences
36
What does a small t value suggest?
Strong effect
Weak effect
No variability
High variability
37
What is the role of degrees of freedom?
Calculates mean
Determines sample size
Influences t-distribution shape
Measures variance
38
What does a high standard deviation indicate?
Exact mean
No variation
Values spread out
Values close to mean
39
What does a 95% confidence interval not including 0 suggest?
No significant difference
Equal variances
Sample size issue
Statistically significant difference
40
What is the estimated standard error used for?
Known population variance
Large sample size
Unknown population standard deviation
Known sample mean
41
What is the z-score formula for a population?
z = \frac{\mu - X}{\sigma}
z = \frac{X + \mu}{\sigma}
z = \frac{X - \sigma}{\mu}
z = \frac{X - \mu}{\sigma}
42
How is expected value calculated?
Sum of outcomes
Average of outcomes
Outcome times probability
Probability divided by outcome
43
What is the primary use of t-statistic?
Calculate z-score
Measure population variance
Compare two sample means
Estimate sample size
44
What does a restricted range of scores affect?
Sample size
Correlation value
Data accuracy
Outlier detection
45
What is a disadvantage of between-subjects design?
Requires more participants
Risk of carryover effects
Controls individual differences
Complex data analysis
46
How are z-scores useful in education?
Reduce scores
Increase scores
Change grades
Compare performances
47
What is the mean in Example 6.2?
500
700
800
600
48
What is the purpose of hypothesis testing?
Calculate sample mean
Assess standard deviation
Determine sample size
Evaluate hypothesis validity
49
What is the mean score in History?
50
60
70
80
50
What does the F-ratio measure?
Total sample size
Sample mean differences
Individual score differences
Variance between groups
51
How does sample size affect distribution?
Smaller size, normal shape
Random size, normal shape
Any size, normal shape
Larger size, normal shape
52
What is the role of a null hypothesis?
Significant effect
Unknown effect
No effect
Random effect
53
What is the expected outcome if H0 is true?
F is zero
F is negative
F is near 1.00
F is significantly high
54
What is the critical value in hypothesis testing?
Population mean
Sample mean
Sample size
Threshold for significance
55
What does a large t value indicate?
No change
Random chance
No effect
Real effect
56
What is the significance of the sign in correlation?
Indicates direction
Indicates causation
Indicates strength
Indicates variability
57
What is the significance level α?
Standard deviation
Probability of Type I error
Expected value
Sample size
58
What is a disadvantage of within-subjects design?
Requires more participants
Simpler execution
Complex data analysis
Reduces order effects
59
How is standard error calculated?
\frac{s}{\sqrt{n}}
\frac{s}{n}
\frac{\sqrt{n}}{s}
\frac{n}{s}
60
What is the formula for t-statistic?
\frac{M}{s_M-\mu}
\frac{M-\mu}{s_M}
\frac{s_M}{M-\mu}
\frac{\mu-M}{s_M}
61
What does p(red ace) represent?
Probability of red ace
Probability of any ace
Probability of no ace
Probability of black ace
62
What does a large between-group variance indicate?
Random differences only
All groups are identical
At least one group differs
No significant findings
63
What is the Pearson correlation coefficient used for?
Linear relationship
Qualitative data
Causation analysis
Non-linear trends
64
What is the law of large numbers?
Random sample, closer mean
Smaller sample, closer mean
Larger sample, closer mean
Any sample, closer mean
65
What is the consequence of multiple hypothesis tests?
Reduced statistical power
Decreased sample size
Inflated experimentwise alpha
Increased testwise alpha
66
What shape does a normal distribution have?
Flat
Asymmetrical
Symmetrical
Skewed
67
What is the role of the sample variance in ANOVA?
Assess treatment effects
Determine total scores
Calculate group differences
Measure individual scores
68
What is the main advantage of repeated-measures?
Reduced variability
Simplified analysis
Random sampling
Increased sample size
69
What is a factorial design?
Only one treatment condition
No factors involved
Single factor study
Combines multiple factors
70
What does a z-score of 3.0 signify?
Three times probability
Three times standard error
Three times expected difference
Three times sample size
71
What is the role of probability in inferential statistics?
Estimate variance
Define populations
Calculate mean
Predict samples
72
How do z-scores help in comparisons?
Normalize distributions
Decrease scores
Change mean
Increase scores
73
What does a correlation of -1.00 indicate?
No relationship
Weak relationship
Perfect positive
Perfect negative
74
What does a large within-group variance suggest?
All groups are identical
Differences are significant
Differences may be random
At least one group differs
75
How is the t statistic calculated?
Sum of sample means
Sample statistic minus population parameter
Difference of variances
Product of variances
76
What is the relationship between correlation and prediction?
Unrelated concepts
Prediction requires causation
Correlation is sufficient
Correlation aids prediction
77
What is the role of degrees of freedom?
Limit variability
Adjust t statistic
Increase sample size
Reduce error
78
How are difference scores calculated?
X1 + X2
X2 + X1
X2 - X1
X1 - X2
79
What is the mean score in Mathematics?
60
80
50
70
80
What does a consistent difference indicate?
Variable effect
Systematic effect
No effect
Random effect
81
What is the standard deviation in Mathematics?
15
5
20
10
82
What is sampling error?
Mistake in data
Natural discrepancy
Exact result
Random guess
83
What does the sign of a z-score indicate?
Score's frequency
Score's magnitude
Exact score
Above or below mean
84
What is a characteristic of a linear relationship?
No direction
Random scatter
Straight line
Curved trend
85
What is the significance of the F-ratio being larger than 1?
Indicates random differences
Indicates equal means
Indicates treatment effect exists
Indicates no treatment effect
86
What is the null hypothesis in independent-measures test?
Means are equal
Means are different
Variance is zero
No difference between means
87
What is the central limit theorem?
Normal distribution
Error calculation
Population variance
Sample size rule
88
How is a raw score determined from a z-score?
Mean plus z times SD
Mean times z
Mean minus z times SD
Mean divided by z
89
What is the probability of drawing a red ace?
0.15384
0.07692
0.03846
0.30768
90
What does the alternative hypothesis state?
Random effect
No change
Change or difference
Unknown effect
91
What is the probability of SAT score > 700?
10.00%
5.00%
2.28%
15.00%
92
What is the z-score for a value of 8?
1.5
0.58
0.5
1.0
93
What does the term 'levels' refer to in ANOVA?
Dependent variables
Conditions of a factor
Sample sizes
Group means
94
What is the estimated standard error?
Measure of variability
Sample size
Degrees of freedom
Mean difference
95
What is the shape of sample means?
Skewed
Normal
Uniform
Bimodal
96
What does the sample statistic z represent?
Mean of sample
Position of sample
Size of sample
Error of sample
97
How is probability symbolized?
p(event)
s(event)
q(event)
r(event)
98
What does a z-score of 0 mean?
Below mean
Above mean
Double mean
At mean
99
What is the purpose of z-scores?
Determine size
Find variance
Calculate error
Transform sample mean
100
What does a significant t-value indicate?
No effect
Known variance
Reject null hypothesis
Accept null hypothesis
101
What is the standard deviation of the sample?
1.5
2.0
1.91
2.5
102
What is the formula for z-score?
X + μ/σ
X × μ/σ
X ÷ μ/σ
(X −μ)/σ
103
What is the null hypothesis in repeated-measures?
μD > 0
μD = 0
μD ≠ 0
μD < 0
104
What does a z-score of 0 indicate?
At mean
Below mean
Above mean
No deviation
105
What does Levene's test assess?
Sample size
Mean differences
Equality of variances
Standard error
106
What is a sampling distribution?
Distribution of means
Distribution of scores
Distribution of errors
Distribution of statistics
107
What is the role of estimated standard error?
Calculate mean difference
Determine variance
Measure of average distance
Assess sample size
108
What does correlation not demonstrate?
Causation
Direction
Strength
Relationship
109
What is the relationship between z-scores and Pearson correlation?
Direct relationship
Independent relationship
No relationship
Inverse relationship
110
What does a 95% confidence interval indicate?
Sample size
Variance equality
Exact mean difference
Range of true mean difference
111
What is the primary purpose of ANOVA?
Compare three or more means
Compare two means
Evaluate individual scores
Assess sample variance
112
What is the probability notation for SAT score > 700?
p(X ≠ 700)
p(X > 700)
p(X = 700)
p(X < 700)
113
What is the focus of repeated-measures design?
Independent variables
Different groups
Random samples
Same individuals
114
What is the significance of the correlation coefficient's value?
Indicates sample size
Indicates data accuracy
Indicates causation
Indicates strength of relationship
115
What does a frequency distribution graph represent?
Mean scores
Median scores
Sample scores
Population scores
116
What is a key advantage of within-subjects design?
Reduces order effects
Requires more participants
Fewer participants needed
Simpler execution
117
Why square deviations in variance calculation?
To remove negative values
To ignore outliers
To reduce variance
To simplify calculations
118
What does a z-score of +1 indicate?
1 SD above mean
At mean
1 SD below mean
2 SD above mean
119
What is the probability of z > 2.00?
2.28%
5.00%
15.00%
10.00%
120
What does repeated-measures design reduce?
Data variability
Measurement error
Sample size
Participant differences
121
What is the role of the numerator in Pearson correlation?
Measures covariability
Indicates direction
Calculates strength
Measures variability
122
What does a Type II error indicate?
Rejected false hypothesis
Failed to detect effect
Accepted true hypothesis
Detected false effect
123
What does standard error measure?
Accuracy of sample mean
Sample variance
Sample size
Population variance
124
Why use larger samples?
Increase error
For fun
Save time
Reduce sampling error
125
How are sample means distributed?
Normally
Exponentially
Uniformly
Randomly
126
Complete the sentence: Probability is used to predict...
Type of distributions
Type of samples
Type of populations
Type of scores
127
How is standard error denoted?
RE
SD
SE
ME
128
What does ANOVA stand for?
Analysis of Values
Analysis of Variance
Assessment of Variance
Analysis of Variables
129
What is Euler's number approximately?
3.14159
2.71828
1.61803
0.57721
130
What is the probability of obtaining a royalty card?
16/52
10/52
12/52
14/52
131
What is a Type I Error?
Accepting H1 when false
Rejecting H1 when false
Rejecting H0 when true
Accepting H0 when true
132
What does hypothesis testing infer?
Sample conclusion
Population conclusion
Error conclusion
Data conclusion
133
What is the primary limitation of correlation?
Statistical significance
Causation inference
Sample size
Data accuracy
134
What does the error term in the F-ratio represent?
Treatment effect size
Total sample variance
Individual score variance
Expected mean differences
135
What is the primary advantage of ANOVA over t-tests?
Fewer assumptions
Simpler calculations
More than two comparisons
Lower error rates
136
What does a significant Levene's test indicate?
Unequal variances
No mean difference
Equal variances
Sample size issue
137
What is the mean of the sample values given?
6.9
6.5
7.5
7.0
138
What is the alternative hypothesis in independent-measures test?
Means are different
Variance is zero
Means are equal
No variance difference
139
What is the purpose of hypothesis testing in correlation?
To establish causation
To analyze variance
To collect data
To determine significance
140
What is the mean of sample means?
Standard deviation
Sample size
Population mean
Random value
141
What does a larger standard error suggest?
Low variability
High accuracy
Less confidence in sample mean
More confidence in sample mean
142
What is the purpose of independent-measures t-test?
Compare means of two groups
Determine standard error
Assess sample size
Calculate variance
143
What is the purpose of subtracting sample means?
To simplify variance
To calculate difference score
To average means
To ignore deviations
144
How does a z-score relate to the mean?
Distance in SD units
Mode of distribution
Frequency of mean
Exact mean value
145
What is the relationship between between-group and within-group variance?
They are identical
They are compared in ANOVA
They are unrelated
They are inversely related
146
What is required for random sampling?
Sampling without replacement
Variable sample size
Fixed sample size
Sampling with replacement
147
What is the null hypothesis in hypothesis testing?
Known mean
Significant effect
Unknown variance
No effect or difference
148
What does the shaded portion in Figure 6.2 represent?
Scores > X = 4
Scores = X = 4
Scores < X = 4
Scores ≠ X = 4
149
What does the term 'random differences' imply?
Measurement errors
Consistent outcomes
Systematic effects
Unpredictable variability
150
What is the standard deviation of sample means?
Random deviation
Error deviation
Mean deviation
Standard error
151
What is the coefficient of determination?
Sum of squares
Correlation coefficient
Outlier measure
Squared correlation
152
What does z-score represent?
Population mean
Location of score
Standard deviation
Sample size
153
What affects standard error magnitude?
Color of data
Sample size
Data type
Graph shape
154
What is the primary focus of ANOVA?
Individual scores
Sample sizes
Mean differences
Treatment conditions
155
What does correlation measure?
Relationship
Independence
Variance
Causation
156
What does a correlation coefficient of 0.00 indicate?
Perfect correlation
Strong relationship
Weak relationship
No linear trend
157
What is the distribution of sample means?
Collection of sizes
Collection of errors
Collection of means
Collection of scores
158
What is the total number of scores denoted as?
G
T
k
N
159
What is the purpose of t statistic?
Compare conditions
Estimate error
Measure variability
Calculate mean
160
What does ANOVA evaluate simultaneously?
Mean differences
Individual scores
Sample sizes
Treatment conditions
161
What does systematic differences in treatments indicate?
Treatment effects
Measurement errors
Individual preferences
Random variability
162
What does a 95% confidence interval including 0 suggest?
Sample size issue
No statistically significant difference
Equal variances
Significant difference
163
What does a correlation coefficient of +0.90 indicate?
Weak relationship
No correlation
Perfect correlation
Strong positive relationship
164
What is the null hypothesis in ANOVA?
Group means differ
All groups are different
Group means are equal
Only one group is unique
165
What does a repeated-measures design compare?
Same individuals
Different groups
Random samples
Independent variables
166
What is the range of correlation strength?
0 to 100
-1 to 1
-100 to 100
0 to 1
167
What is expected value of M?
Sample size
Standard deviation
Random guess
Population mean
168
What is the critical region in hypothesis testing?
Expected sample outcomes
Random sample outcomes
Extreme sample outcomes
Average sample outcomes
169
What does the sum of products of deviations measure?
Covariability
Independence
Causation
Variance
170
What is the expected value of a die roll?
6.0
3.507
4.5
5.0
171
What is the grand total of all scores in a study denoted as?
ΣX
G
T
N
172
What is the t statistic based on?
Raw scores
Difference scores
Variance scores
Mean scores
173
What is the alternative hypothesis?
Known variance
Effect or difference exists
No effect or difference
Known mean
174
What is the probability density symbolized by?
σ
X
Y
μ
175
What is the primary use of correlation in research?
Prediction
Sample selection
Data collection
Causation verification
176
What does a scatterplot visually represent?
Causation
Data distribution
Relationship between variables
Sample size
177
What is the variance symbolized by?
μ²
σ²
π²
e²
178
What is Bob's z-score in History?
1.0
1.5
1.33
2.0
179
Why is pooled variance used?
To average variances
To ignore sample size
To simplify calculations
To weight variances by sample size
180
What is the central tendency of sample means?
Population mean
Sample size
Standard deviation
Random value
181
What is the impact of a broad range of scores on correlation?
Reduces correlation
Decreases variability
No impact
Increases accuracy
182
What is a repeated-measures design?
Cross-sectional design
Within-subjects design
Independent design
Between-subjects design
183
What is the standard error of M?
Random deviation
Error in data
Mean of scores
Standard deviation of means
184
What is the alternative hypothesis?
μD < 0
μD ≠ 0
μD = 0
μD > 0
185
What is the computational formula for SP?
SP = X - Y
∑ −−= ))(( YX MYMXSP
YXXYSP ∑ ∑∑ −= n
SS = X + Y
186
What indicates a positive correlation?
Zero value
No correlation
Positive sign
Negative sign
187
What does the Galton Board demonstrate?
Uniform distribution
Random distribution
Normal distribution
Skewed distribution

PSYC 3010 Chapter 5A + PSYC 3010 Chap 6A + PSYC 3010 Chapter 7A + PSYC 3010 Chapter 8A + PSYC 3 Flashcards | StudBud