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A child psychologist observed 8-year-old children behind a
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A child psychologist observed 8-year-old children behind a one-way mirror to determine how long they would play with a toy medical kit. The company that designed the toy was attempting to determine whether to give the kit a masculine or feminine orientation. The length of time (in minutes) the children played with the kits are shown below. Calculate the value of t and recommend to management whether the kit should have a male or female orientation.

Sex

Time played with toy medical kit

Boys

31

12

41

34

63

7

67

67

25

73

36

41

15

Girls

26

38

20

32

16

45

9

9

16

26

81

20

5

3(a): Please identify the research question (one sentence) (5 points).

Here are some examples of the research question:

How/why A is related to B?

Does A cause/equal/bigger/smaller/explain than B?

Whether A is equal/bigger/smaller than B?

3(b) Please generate the appropriate hypothesis (10 points)

H0:

Ha:

3(c): Find the appropriate statistical test, compute the test statistics. Please give detailed calculation procedures. (20points)

3(d): Based on your computed test statistics, draw your conclusions (5 points)

Question 4 (20 points):

Provide the reasons that you choose the specific test statistics for each of the two questions. For example, if you choose t test, explain why t test is the appropriate test for a particular question.


A child psychologist observed 8-year-old children behind a one-way mirror to determine how long

 

they would play with a toy medical kit. The company that designed the toy was attempting to

 

determine whether to give the kit a masculine or feminine orientation. The length of time (in

 

minutes) the children played with the kits are shown below. Calculate the value of t and recommend

 

to management whether the kit should have a male or female orientation.

 

Sex

 


 

Time played with toy medical kit

 


 

Boy

 

s

 


 

3

 

1

 


 

12

 


 

41

 


 

3

 

4

 


 

6

 

3

 


 

7

 


 

67

 


 

67

 


 

25

 


 

73

 


 

36

 


 

41

 


 

15

 


 

Girl

 

s

 


 

2

 

6

 


 

38

 


 

20

 


 

3

 

2

 


 

1

 

6

 


 

4

 

5

 


 

9

 


 

9

 


 

16

 


 

26

 


 

81

 


 

20

 


 

5

 


 

3(a): Please identify the research question (one sentence) (5 points).

 

Here are some examples of the research question:

 

How/why A is related to B?

 

Does A cause/equal/bigger/smaller/explain than B?

 

Whether A is equal/bigger/smaller than B?

 

3(b) Please generate the appropriate hypothesis (10 points)

 

H0:

 

Ha:

 

3(c): Find the appropriate statistical test, compute the test statistics. Please give detailed calculation

 

procedures. (20points)

 

3(d): Based on your computed test statistics, draw your conclusions (5 points)

 

Question 4 (20 points):

 

Provide the reasons that you choose the specific test statistics for each of the two questions. For

 

example, if you choose t test, explain why t test is the appropriate test for a particular question.

 


 

 







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