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A researcher is interested in studying the effects of using a dress code in midd

ID: 3340509 • Letter: A

Question

A researcher is interested in studying the effects of using a dress code in middle schools on students’ feelings of safety. Three schools are identified as having the same size, racial composition, income levels, and disciplinary problems. The researcher randomly assigns a type of dress code to each school and implements it for the beginning of the school year. In the first school (A), no formal dress code is required. In the second school (B), a limited dress code is used with restriction on colors and style of clothing. In the third school (C), school uniforms are required. Six months later, five students from each school are randomly selected and given a survey on fear of crime at school. The higher the school, the safer the student feels. Test the hypotheses that feelings of safety do not differ depending upon school dress code.

School A

School B

School C3

3

2

4

3

2

4

3

2

3

4

1

4

4

3

3

School A

School B

School C3

3

2

4

3

2

4

3

2

3

4

1

4

4

3

3

Explanation / Answer

Ans:

H0:Feelings of safety do not differ depending upon school dress code.

Ha:Feelings of safety differs dpending upon school dress code.

F=3.8/0.370=10.279

p-value=Fdist(10.279,2,12)=0.003

Assume significance level=0.05

As,p-value<0.05,we reject null hypothesis.

There is insufficient evidence to conclude that feelings of safety do not differ depending upon school dress code.

School A School B School C3 1 3 2 4 2 3 2 4 3 3 2 3 4 4 1 4 5 4 3 3 Mean= 3.4 2 3.6 Std dev= 0.55 0.71 0.55 SS df MS F p-value Between 7.6 2 3.8 10.279 0.003 Within 4.436 12 0.370 Total 12.036 14
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