Answered: An educator want to determine whether…

Name: An educator want to determine whether early exposure to school affect
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Description: An educator want to determine whether early exposure to school affect IQ. He enlists the aid of parents of 24 of preschool age children to participate in this experiment, 12 children go to the preschool and 12 children stay at home. At the end of tw

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An educator want to determine whether early exposure to school affect IQ. He enlists the aid of parents of 24 of preschool age children to participate in this experiment, 12 children go to the preschool and 12 children stay at home. At the end of two years, the IQs of all the children are measured. The results are as follows:

IQ of children who went to preschool.

110

121

107

117

115

112

130

116

111

120

117

106

IQ of children who stayed home.

114

118

103

112

117

106

125

113

109

122

116

104

what is the alternative and the null hypotheses?
what is the mean and standard deviation of each group?
what is the result and conclusion?

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Step 1

We set up the,

$N u l l H y p o t h e s i s (H_{0}) : μ_{x} = μ_{y}, t h e r e i s n o d i f f r e n c e b e t w e e n t h e m e a n I Q o f c h i l d r e n w h o w e r e p r e s c h o o l e d a n d w h o s t a y e d h o m e . A l t e r n a t e H y p o t h e s i s (H_{1}) : μ_{x} \neq μ_{y}, W h e r e μ_{x} a n d μ_{y} a r e t h e m e a n I Q o f t h e c h i d r e n w h o w e n t t o p r e s c h o o l a n d w h o s t a y e d h o m e r e s p e c t i v e l y$

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