statistics exam

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1, In a paired samples design, famous cowboys were paired with their famous Indian antagonists and an honesty index was derived for each. The cowboy mean was 46 and the Indian mean was 75. A t test produced a value of 2.15. Given an α level of .05, which conclusion below is correct? (High scores mean more honesty.)

none of the choices are correct

If df = 10, Cowboys are more honest than Indians

If df = 10, Indians are more honest than Cowboys

If df = 26, Cowboys and Indians are not significantly different

2, 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 = 10, Dogs are significantly better than Cats

If df = 4, Cats are significantly better than Dogs

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

If df = 5, Dogs are significantly better than Cats

3, Two schedules for giving rest were compared—the massed schedule and the spaced schedule. Twenty observations of the spaced schedule produced a mean of 26 errors. On the massed schedule 14 observations resulted in a mean of 36 errors. An α level of .05 was adopted and an F = 4.21 was obtained. What conclusion is appropriate?

massed practice produces fewer errors than spaced practice

spaced practice produces fewer errors than massed practice.

none of the choices are correct

the null hypothesis should be retained

4, Data were gathered comparing four recipes for whole wheat bread. (The dependent variable was a scaled judgment by a trained taster.) Ten judgments were made on each recipe. An F = 2.90 was obtained. Which conclusion is proper?

reject H0 at the .001 level 

reject H0 at the .05 level

reject H0 at the .01 level

not enough information is given

5, Determine if there is a significant difference in cyber security breaches between the continents?  Write up the results and determine what do the results mean? 

Here is the data set:

Asia

Europe

40

25

52

35

63

20

70

18

25

19

19

14

 

11

 

9

6. A researcher wanted to know if there was a relationship between training and performance of athletes in a particular sport.  The weeks spent training were gathered for 8 athletes, and compared to their performance data.  What test should the researcher conduct to see if there is a relationship?  Write the results according to the handbook, and if the results are significant describe the strength of the relationship.  Here are the data: 

Training

Performance

7

8

10

7

20

4

15

4

16

4.5

12

7

10

7

20

4