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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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This question was answered on: Feb 21, 2020

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