Question
1 of20 The F -ratio is typically used to test differences between a sample and a population mean. two independent means. two dependent means. three
1 of20
The F-ratio is typically used to test differences between
a sample and a population mean. | |
two independent means. | |
two dependent means. | |
three or more means. |
Question
2 of20
To determine whether the test statistic of ANOVA is statistically significant, it can be compared to a critical value. What two pieces of information are needed to determine the critical value?
sample size, number of groups | |
mean, sample standard deviation | |
expected frequency, obtained frequency |
Question
3 of20
Assuming that the null hypothesis being tested by ANOVA is false, the probability of obtaining a F-ratio that exceeds the value reported in the F table as the 95th percentile is:
less than .05. | |
equal to .05. | |
greater than .05. |
Question
4 of20
Using an F table, what is the critical value for a set of sample data that has a df between of 3 and a df within of 10?
3.86 | |
3.71 | |
6.61 | |
5.41 |
Question
5 of20
An admissions counselor would like to know if the standardized testing scores of applicants from a certain high school are more variable than scores from another school. The appropriate statistical test for the counselor to use is
ANOVA | |
t-test for independent measures | |
t-test for dependent measures | |
F-test |
Question
6 of20
Analysis of variance is a statistical method of comparing the ________ of several populations.
standard deviations | |
variances | |
means | |
proportions | |
none of the above |
Question
7 of20
The ANOVA procedure is a statistical approach for determining whether or not.
the means of more than two samples are equal | |
the proportions of more than two samples are equal | |
the means of more than two populations are equal | |
the proportions of more than two populations are equal |
Question
8 of20
The ______ sum of squares measures the variability of the observed values around their respective treatment means.
treatment | |
error | |
interaction | |
total |
Question
9 of20
If the sample means for each of k treatment groups were identical (yes, this is very unlikely), what would be the observed value of the ANOVA test statistic?
1.0 | |
0 | |
A value between 0.0 and 1.0 | |
A negative value |
Question
10 of20
If a researcher wants to test the claim that the proportion of job seekers turned down for a job is the same for Caucasians, Blacks, Hispanics, and Asians, then the researcher can use a one-way ANOVA.
True | |
False |
Question
11 of20
A one-way ANOVA is used to test whether two or more population variances differ.
True | |
False |
Question
12 of20
An investigator randomly assigns 30 college students into three equal size study groups (early morning, afternoon, late-night) to determine if the period of the day at which people study has an effect on their retention. The students live in a controlled environment for one week, on the third day of the experimental treatment is administered (study of predetermined material). On the seventh day the investigator tests for retention. In computing his ANOVA table, he sees that his MS within groups is larger than his MS between groups. What does this result indicate?
An error in the calculations was made. | |
There was more than the expected amount of variability between groups. | |
There was more variability between subjects within the same group than there was between groups. | |
There should have been additional controls in the experiment. |
Question
13 of20
If a one-way ANOVA is used and the resulting p-value was .003 with a level of significance of .05, then there is evidence to conclude that all of the means are different from each other.
True | |
False |
Question
14 of20
A researcher is studying whether average GPA is dependent on whether the students are in a two-year college, public university, or private university. The researcher should use a one-way ANOVA for this study.
True | |
False |
Question
15 of20
Assuming no bias, the total variation in a response variable is due to error (unexplained variation) plus differences due to treatments (known variation). If known variation is large compared to unexplained variation, which of the following conclusions is the best?
There is no evidence for a difference in response due to treatments. | |
There is evidence for a difference in response due to treatments. | |
There is significant evidence for a difference in response due to treatments | |
The cause of the response is due to something other than treatments. |
Question
16 of20
One-way ANOVA can be used to test if several population means are not all the same, but cannot determine which mean is the one that differs.
True | |
False |
Question
17 of20
Which of the following is an assumption of one-way ANOVA comparing samples from three or more experimental treatments?
All the response variables within the k populations follow normal distributions. | |
The samples associated with each population are randomly selected and are independent from all other samples. | |
The response variable within each of the k populations have equal variances. | |
All of the above. |
Question
18 of20
A study investigating the impact of gender and type of exercise on depression would call for using a(n)
F-test for equality of variances | |
t-test for related measures | |
one-way ANOVA | |
two-way ANOVA |
Question
19 of20
What is a factorial design?
when there is more than 1 DV | |
when we have manipulated more than 1 IV | |
systematic error | |
when we have manipulated 1 IV |
Question
20 of20
Identify the two-way ANOVA:
3 effects (2 main and 1 interaction) | |
1 effect with more than 2 levels |
1 of20
A scatter plot should always be constructed
soon after calculating a value forr. | |
prior to calculating a correlation value. | |
prior to submitting the results to a journal publisher. | |
when linearity is suspected. |
Question
2 of20
A scatter plot can be used to identify non-linear relationships as well as linear relationships.
True | |
False |
Question
3 of20
An important use of scatter plots is to determine
whether the relationship is a spurious correlation. | |
linearity prior to calculating a value forr. | |
dependency between the variables. | |
which variable to plot on the x axis and which on the y axis. |
Question
4 of20
A scatter plot that rises continually but not at a constant rate is said to be
not-monotonic | |
un-linear | |
variously increasing | |
monotonic |
Question
5 of20
Here is a scatter plot for a set of bivariate data.
Is the Pearson correlation coefficient an appropriate measure of the strength of the relationship shown by this data set?
Yes | |
No |
Question
6 of20
The correlation coefficient is independent of the scale of measurement of the variables.
True | |
False |
Question
7 of20
Pearson's correlation requires that the relationship between the data pairs be deterministic.
True | |
False |
Question
8 of20
Pearson's correlation is used to determine
linearity of the relationship between the variable | |
causality of the relationship between the variables | |
strength of the relationship between the variables | |
the ratio of x scores to y scores |
Question
9 of20
According to the lesson, a correlation ofr= .35 would be regarded as
weak | |
moderate | |
strong | |
very strong |
Question
10 of20
Which correlation value indicates the strongest relationship between the variables?
.43 | |
-.73 | |
.67 | |
-.68 |
Question
11 of20
An advantage of the Spearman correlation is that it can be used if data are not monotonic.
True | |
False |
Question
12 of20
The Spearman correlation can be calculated for
monotonic data | |
not-monotonic data | |
either monotonic or not-monotonic data | |
only linear data |
Question
13 of20
The Spearman correlation requires
nominal level data | |
ordinal level data | |
interval level data | |
interval or ratio level data |
Question
14 of20
Anrvalue of -1 shows that
x and y have a causal relationship because the value of x completely accounts for the corresponding value of y. | |
x and y do not have a causal relationship because thervalue is negative. | |
x and y have a very weak relationship because thervalue is less than zero. | |
x and y have a very strong relationship. |
Question
15 of20
A study reported anrof .5 for data relating illicit drug use as the predictor variable to early death syndrome as the response variable. Interpret this.
A correlation of .5 is very strong; it appears cannabis use causes early death. | |
A correlation of .5 is moderate; it appears cannabis use may cause early death. | |
A correlation of .5 is weak; cannabis probably does not cause early death. | |
A correlation of .5 is moderate; there appears to be a relationship but the nature of the relationship is not specified. |
Question
16 of20
A study reported a correlation of .5 for data relating cannabis use as the predictor variable to early death syndrome as the response variable. Interpret the coefficient of determination for these data.
Anrof .5 leads to anr2of .25. This indicates cannabis use is responsible for early death. | |
Anrof .5 leads to anr2of .25. This indicates cannabis use is responsible for one in four early deaths. | |
Anrof .5 leads to anr2of .25. This indicates cannabis use explains 25% of the variance in early death. | |
Anrof .5 leads to anr2of .25. This indicates cannabis use explains 75% of the variance in early death. |
Question
17 of20
A correlational study foundr= .8 for the relationship between height and weight of a population of middle-aged males. This suggests that
if we know an individual's height, we can correctly predict his weight 80% of the time | |
64% of the variability in weight can be predicted by height | |
36% of the variability in weight can be predicted by other factors | |
both b and c are correct |
Question
18 of20
Given a deterministic relationship between X and Y, a prediction of a value for y based on a value for x will be exactly correct.
True | |
False |
Question
19 of20
The independent variable in a regression equation may also be shown as the explanatory or predictor variable.
True | |
False |
Question
20 of20
Regression lines are trend lines that can be precisely calculated by a formula.
True | |
False |
1 of20
The bigger the chi square statistic, the ________ thep-value.
bigger | |
smaller |
Question
2 of20
What type of data do you use for a chi-square table?
Ratio | |
Interval | |
Ordinal | |
Categorical |
Question
3 of20
At least how many cases must appear in one category of a chi-square test?
4 | |
6 | |
5 | |
7 |
Question
4 of20
A requirement for a chi-square test is that sampling is done from a normal distribution.
True | |
False |
Question
5 of20
What is the null hypothesis in a chi-square test?
The rows and columns are the same | |
The rows and columns in the table are associated | |
The rows and columns in the table are not associated | |
The rows and columns are not the same |
Question
6 of20
A chi-square test for goodness of fit and a z-test for proportions can be used interchangeably.
True | |
False |
Question
7 of20
Which chi-square test uses one-waycontingency tables?
Chi-square test for independence | |
Chi-square test for dependence | |
Chi-square variable test | |
Chi-square goodness of fit |
Question
8 of20
In 2014, each acre of the Tahoe basin was assessed to see what condition the soil was in. 23% of acres were of type I, 32% were of type II, 41% were of type III, and 16% were of type IV. This year the region was assessed again and the number of each type were again determined. What is the appropriate statistical test?
Chi-square Goodness of Fit Test | |
Chi-Square Test for Homogeneity | |
Chi-Square Test for Independence | |
Not a Chi-square test |
Question
9 of20
Your friend has made a four-sided tetrahedral die in shop class. He is unsure if it is balanced, so you offer to test it using an appropriate statistical test. You mark each of the four sides sequentially with a 1, 2, 3, or 4. You then roll the die 100 times. Here are the results.What is the expected frequency for the outcome of "2" on the die?
face showing up | 1 | 2 | 3 | 4 |
frequency | 20 | 25 | 45 | 10 |
10 | |
20 | |
25 | |
45 |
Question
10 of20
Have shoe brand preferences changed between last year and this year? 1000 people were observed this year and last year to see what brand of shoe they were wearing. What is the appropriate statistical test?
Chi-square Goodness of Fit Test | |
Chi-Square Test for Homogeneity | |
Chi-Square Test for Independence | |
Not a Chi-square test |
Question
11 of20
What is the expected value for all cells, if we assume that this is a fair six-sided die?
Face Value | Observed |
1 | 19 |
2 | 15 |
3 | 10 |
4 | 14 |
5 | 17 |
6 | 21 |
96 | |
16 | |
8 | |
1/6 |
Question
12 of20
What must be true about the expected values in a chi square test?
greater than or equal to 2 | |
greater than or equal to 5 | |
greater than or equal to 10 | |
greater than or equal to 30 |
Question
13 of20
The null hypothesis for the chi-square goodness-of-fit test states that the distribution of
cases for each group is equal to the expected distribution based on theory/knowledge of the population. | |
cases for each group is not equal to the expected distribution based on theory/knowledge of the population. | |
sample means is equal to expectation. | |
sample means for each group is equal. |
Question
14 of20
This two-way table summarizes data about the occurrences of two patient measurements in combination: blood pressure (BP) and cholesterol level (C) for 53 individuals who were measured at the infirmary of a large steel mill as part of their annual check-ups:
High BP HBP | Normal BP NBP | |
High Cholesterol HC | 13 | 11 |
Normal Cholesterol NC | 8 | 21 |
Which hypothesis test would be appropriate for testing the relationship between cholesterol and blood pressure?
Least-squares regression | |
Two-sample z-test for means | |
Chi-square test for goodness of fit | |
Chi-square test for independence |
Question
15 of20
Is the type of television show that a person chooses to watch related to the brand of toothpaste that a person uses? 1500 people were surveyed. What is the appropriate statistical test?
Chi-square Goodness of Fit Test | |
Chi-Square Test for Homogeneity | |
Chi-Square Test for Independence | |
Not a Chi-square test |
Question
16 of20
In the chi-square test of independence, we make comparisons
across populations | |
across variables | |
across levels of a single variable | |
using a one-way contingency table |
Question
17 of20
What are the expected counts of a female who likes Pepsi?
Soft Drink Choice | |||
Coke | Pepsi | Total | |
Male | 19 | 6 | 25 |
Female | 10 | 15 | 25 |
Total | 29 | 21 | 50 |
10.5 | |
11 | |
14.5 | |
6.3 |
Question
18 of20
A study was performed to examine the personal goals of children in elementary school. A random sample of 602 students was selected from elementary schools in a large school district. The students were asked what they would most like to school: make good grades, be popular, or be good at sports. Results are presented in the table below by the gender of the child.
Boys | Girls | |
make good grades | 96 | 295 |
be popular | 32 | 45 |
be good at sports | 94 | 40 |
The value of the chi-square test statistic was 89.97. What is the statistical decision, using a level of significance of .05?
Reject the null hypothesis, and conclude that gender and personal goals are independent. | |
Reject the null hypothesis, and conclude that gender and personal goals are not independent. | |
Do not reject the null hypothesis, and conclude that gender and personal goals are independent. | |
Do not reject the null hypothesis, and conclude that gender and personal goals are not independent. |
Question
19 of20
It is family game night in Minneapolis. Folks settle in to play their favorite game and eat their favorite snack. A random sample of 115 families was asked about their preferred game and snack, and the results are presented in the two-way table below.
Corn Chips | Chips & Salsa | Cookies | |
Yahtzee | 10 | 3 | 12 |
Trivial Pursuit | 8 | 14 | 7 |
Monopoly | 14 | 17 | 7 |
Hearts | 12 | 7 | 4 |
How many degrees of freedom would you use for testing the null hypothesis that game preference is independent of snack preference?
6 | |
7 | |
12 | |
48 |
Question
20 of20
When the expected values(E)are obtained by multiplying row totals by column totals and dividing by Nthe chi-square test is
equivalent to a one-sample t test. | |
a chi-square test of independence. | |
not valid. | |
a chi-square goodness-of-fit test. |
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