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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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