Question

In: Statistics and Probability

EXPERIMENT ONE On a standard test of attention span in children, Dr. Niederjohn wants to know...

EXPERIMENT ONE

On a standard test of attention span in children, Dr. Niederjohn wants to know whether attention span is different in children who play video games extensively.  He selects a sample of children who regularly play video games and those who do not and obtains the following attention-span data:

Video

No Video

23

19

19

17

28

24

21

21

24

27

27

21

28

23

23

18

25

19

23

22

1. Give the M and SD for each group:

Video

No Video

M (Experiment 1)

24.1

21.1

SD (Experiment 1)

2.961

3.035

2. Using SPSS compute the appropriate test. Paste SPSS output here.

t-Test: Two-Sample

Video

No Video

Mean

24.1

21.1

Variance

8.766667

9.211111

Observations

10

10

Hypothesized Mean Difference

0

df

18

t Stat

2.23745

P(T<=t) one-tail

0.019072

t Critical one-tail

1.734064

P(T<=t) two-tail

0.038144

t Critical two-tail

2.100922

EXPERIMENT TWO

Dr. Marek wants to replicate the previous study. She selects a different sample of children who regularly play video games and those who do not and obtains the following attention-span data:

Video

No Video

20

16

19

20

31

24

18

21

24

27

27

21

31

23

23

21

25

16

23

22

3. Give the Mand SDfor each group:

Video

No Video

M (Experiment 2)

24.1

21.1

SD (Experiment 2)

4.56

3.35

4. The difference between the means in experiment 1 is the same asthe difference between the means in experiment 2.

5. The variability in experiment 1 is less thanthe variability in experiment 2.

6a. Given your answer to numbers 4 and 5, the results of EXPERIMENT TWOare less likely

to be significant compared to the results of EXPERIMENT ONE?  

6b. Why? How will the numerator and denominator of the t-obtained formula be affected by the answers to questions 4 and 5? Note: you will be graded in part on the clarity of your answer. When you make comparisons between the two experiments, clearly identify which experiment you are referring to.

7. Using SPSS compute the appropriate test. Paste SPSS output here.

With alpha set at .05, write a conclusion of the findings.

Be sure to report the appropriate statistic in APA style.   

EXPERIMENT THREE

Dr. Ziegler wants to replicate the previous study once again.  She selects a different sample of children who regularly play video games and those who do not and obtains the following attention-span data:

Video

No Video

25

21

21

19

30

26

23

23

26

29

29

23

30

25

25

20

27

21

25

24

8. Give the Mand SDfor each group.

Video

No Video

M (Experiment 3)

SD (Experiment 3)

9. The difference between the means in experiment 1 is _________ the difference between the means in experiment 3.

less than

greater than

the same as

10. The variability in experiment 1 is _________ the variability in experiment 3.

less than

greater than

the same as

11a. Given your answer to numbers 9 and 10, the results of EXPERIMENT THREEare _________ to be significant compared to the results of EXPERIMENT ONE?  

a.less likely

b.more likely

c.equally likely

11b. Why? How will the numerator and denominator of the t-obtained formula be affected by the answers to questions 9 and 10? Note: you will be graded in part on the clarity of your answer. When you make comparisons between the two experiments, clearly identify which experiment you are referring to.

12. The difference between the means in experiment 2 is _________ the difference between the means in experiment 3.

less than

greater than

the same as

13. The variability in experiment 2 is _________ the variability in experiment 3.

less than

greater than

the same as

14a. Given your answer to numbers 12 and 13, the results of EXPERIMENT THREEare _________ to be significant compared to the results of EXPERIMENT TWO?  

a.less likely

b.more likely

c.equally likely

14b. Why? How will the numerator and denominator of the t-obtained formula be affected by the answers to questions 12 and 13? Note: you will be graded in part on the clarity of your answer. When you make comparisons between the two experiments, clearly identify which experiment you are referring to.

15. Using SPSS compute the appropriate test. Paste SPSS output here.

With alpha set at .05, write a conclusion of the findings.

Be sure to report the appropriate statistic in APA style.   

Solutions

Expert Solution

Experiment 3:

t-Test: Two-Sample Assuming Equal Variances
Video No Video
Mean 26.1 23.1
Variance 8.76666667 9.21111111
Observations 10 10
Pooled Variance 8.98888889
Hypothesized Mean Difference 0
df 18
t Stat 2.23744955
P(T<=t) one-tail 0.01907192
t Critical one-tail 1.73406361
P(T<=t) two-tail 0.03814383
t Critical two-tail 2.10092204
Video No Video
M (Experiment 2) 26.1 23.1
SD (Experiment 2) 2.96 3.03

The difference between the means in experiment 1 is ___the same______ the difference between the means in experiment 3.

The variability in experiment 1 is _the same as________ the variability in experiment 3.

Given your answer to numbers 9 and 10, the results of EXPERIMENT THREEare __more likely_______ to be significant compared to the results of EXPERIMENT ONE?  

Why? How will the numerator and denominator of the t-obtained formula be affected by the answers to questions 9 and 10? Note: you will be graded in part on the clarity of your answer. When you make comparisons between the two experiments, clearly identify which experiment you are referring to.

Numerator which is difference of means is equal in both the experiemnts. Denominator which is variablity is also same in both experiments. So the results are also more likely to be same


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