QUESTION 1 In an ANOVA,what are the degrees of freedom for the following output:ANOVA Source of VariationSSdfMSFP-valueF critBetween Groups71.64921235.82462.5037160.1152793.68232Within Groups214.6286

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QUESTION 1

  1. In an ANOVA, what are the degrees of freedom for the following output: 


ANOVA

 

 

 

 

 

 

Source of Variation

SS

df

MS

P-value

F crit

Between Groups

71.64921

35.8246

2.503716

0.115279

3.68232

Within Groups

214.6286

15

14.30857

 

 

 

 

 

 

 

 

 

 

Total

286.2778

17

 

 

 

 


2, 15

2, 17

2.50

17

5 points   

QUESTION 2

  1. Males and females were compared for the mean number of smiles during a five-minute interview. The 30 males' mean was 3.62 and the 24 females' mean was 5.04. An α level of .05 was adopted and an = 4.02 was obtained. What conclusion is appropriate?

males smile more than females

females smile more than males

the null hypothesis should be retained

none of the choices are correct

5 points   

QUESTION 3

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

neither choice is correct

both choices are correct

populations that do not have the same mean

paired-samples design;

5 points   

QUESTION 4

  1. The null hypothesis in an ANOVA problem is that

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

none of the groups were drawn from the same population;

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

all the groups are drawn from the same population;

5 points   

QUESTION 5

  1. When the value in the F table is smaller than the value calculated from the data

reject the null hypothesis;

none of the choices are correct

retain the null hypothesis;

reject or retain the null hypothesis, depending on how far apart the group means are;

5 points   

QUESTION 6

  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

Pearson Correlation

0.343785438

 

Hypothesized Mean Difference

 

df

 

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?  

Yes, there was a significant 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).

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).

5 points   

QUESTION 7

  1. p < .01 means that the


the results are significant

neither choice is significant 

the null hypothesis should be rejected

both choices are correct

5 points   

QUESTION 8

  1. In an independent samples design, the Dog's mean was 54.0 and the Cat's mean was 53.9. Larger scores are better. A t value of 2.50 was calculated and an α level of .05 adopted. Which conclusion is appropriate with a 2-tailed test?

If df = 5, Dogs are significantly better than Cats

If df = 9, Dogs are not significantly different from Cats

If df = 10, Dogs are significantly better than Cats

If df = 4, Cats are significantly better than Dogs

5 points   

QUESTION 9

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

none of the choices are correct

the results should be declared "not significant";

both choices are correct

should be attributed to chance rather than to the independent variable

5 points   

QUESTION 10

  1. With an acknowledgment to Sesame Street, "Which of these things is not like the others, which of these things doesn't belong?"

matched pairs

natural pairs

repeated measures

independent samples

5 points   

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