Inferential Statistics

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QUESTION 1

1. What do you call measurements of a subset of a population? 

variable 

population 

statistics 

sample

5 points   

QUESTION 2

1. What is a graph with a great preponderance of high scores? 

bimodal distribution

normal distribution

negative skew

positive skew

5 points   

QUESTION 3

1. What is a number that conveys a particular characteristic of a set of data? 

variable

descriptive statistic 

inferential statistic 

nominal scale

5 points   

QUESTION 4

1. A friend brings you data that can be used to establish the independence of two variables. You run an analysis on the data and find a chi square value larger than the tabled value. Your analysis shows that the two variables

are not independent

neither answer is correct

both answers are correct

are independent

5 points   

QUESTION 5

1. Find the Chi-Square critical value for goodness of fit where alpha is the level of significance and k is the number of possible outcomes for each trial.

alpha (level of significance) =0.05 and k = 22, where degree of freedom = k - 1

29.615

32.671

35.479

41.401

5 points   

QUESTION 6

1. In a χ2 test of independence between gender and kinds of phobias, the null hypothesis was rejected. The proper conclusion is that

knowing a person's phobia gives you no clue to his or her gender

gender and phobias are independent of each other

none of the choices are correct

gender and phobias are related to each other

5 points   

QUESTION 7

1. The way in which the data analyzed with chi square differ from those analyzed with ANOVA is that chi square data are

not random samples

normally distributed

frequency counts

not normally distributed

5 points   

QUESTION 8

1. When contrasted with Pearson's correlation calculation, Spearman's correlation coefficient measures how well the data fits what assumption about the data? 

That the data has a linear trend

That the data is random

That the data has an exponential trend

That the data has a monotonic trend

5 points   

QUESTION 9

1. The general form of a null hypothesis for a Spearman correlation is:

H0: There is a [monotonic] association between the two variables [in the population].

H0: There is no [monotonic] association between the two variables [in the population].

H0: There is an equal association between the two variables [in the population].

H0: There is not an equal association between the two variables [in the population].

5 points   

QUESTION 10

1. Suppose you obtained a Spearman rs of .53 from a sample of 13 pairs of scores. For a two-tailed test, such a correlation coefficient is

p < .05

p <.001

not statistically signficant

p < .01

5 points   

QUESTION 11

1. Nonparametric tests are used rather than a t test or an ANOVA when

the researcher does not know the specific value of the population parameters

the assumption of random assignment is not justified

a null hypothesis cannot be specified

the data are in the form of ranks

5 points   

QUESTION 12

1. p < .05 means that the difference between sample means

none of the choices are correct

both choices are correct

should be attributed to chance rather than to the independent variable

the results should be declared "not significant";

5 points   

QUESTION 13

1. A researcher conducted a paired sample t-test to determine if advertisements were viewed more in the morning (before noon) or in the evening (after 5pm) for eight different universities.  The results were as follows: 

 

Morning

Evening

 

Morning

Evening

Mean

32

40.625

Variance

89.71428571

504.5536

Observations

8

8

Pearson Correlation

0.343785438

 

Hypothesized Mean Difference

0

 

df

7

 

t Stat

-1.152587077

 

P(T<=t) one-tail

0.143458126

 

t Critical one-tail

1.894578605

 

P(T<=t) two-tail

0.286916252

 

t Critical two-tail

2.364624252

 

Is there a significant difference between morning and evening access to the university advertisements?  

No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).

No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p < .05).

Yes, there was a significant difference between Morning (M= 32), and Evening (M=40.625), (t [7] = .28, p < .05).

Yes, there was a significant difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15 p < .05). 

5 points   

QUESTION 14

1. Pearson product-moment correlation coefficients can accurately describe the relationship between two variables when

all choices are correct

the relationship between the two variables is curvilinear;

the two variables are measuring different things;

one of the variables has a truncated range;

5 points   

QUESTION 15

1. The null hypothesis in an ANOVA problem is that

all the groups are drawn from the same population;

one or more of the groups was drawn from a different population;

any of the other alternatives, depending on how many levels of the independent variable there are. 

none of the groups were drawn from the same population;

5 points   

QUESTION 16

1. The one way ANOVA is not appropriate if the data come from

populations that do not have the same mean

neither choice is correct

both choices are correct

paired-samples design;

5 points   

QUESTION 17

1. For scores of 6, 3, 5, 6, 4, 4, 6, 5, the median is

9

5

4

4.5

5 points   

QUESTION 18

1. For scores of 8, 10, 8, 9, 8, 8, 9, 8, the median is 

9

4

13.5

8

5 points   

QUESTION 19

1. Over the past decade, ABC Manufacturing has increased the number of safety inspections per month in hopes to decrease the number accidents on their production line.  Below is a list of how many inspections were conducted in a month and the corresponding number of accidents recorded.  Is there a correlation, and has this leadership decision been effective?

Inspections

Accidents

20

181

24

190

28

167

40

160

60

120

64

124

64

118

68

90

70

94

72

85

2.

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10 points   

QUESTION 20

1. What is the Mode of the following data set?

18

25

37

21

25

25

20

25

40

2.

25

24

22

23

5 points   

QUESTION 21

3. What is the Mean of the following data set?

100

79

80

59

60

72

47

30

90

95

68

78

72

73

75

4.

72

73

71.87

72.87

5 points   

QUESTION 22

5. What is the range of the following data set?

18

25

37

21

25

25

20

25

40

6.

21

25

23

22

5 points   

QUESTION 23

7. Five higher education institutions were ranked according to their cost and retention.  The data are listed below.  Which test would you use to determine if there is a correlation?  What are the results (written according to the handbook), and what do they mean?

Cost

Retention

1

3

2

2

3

4

4

1

5

5

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