An educator wants to determine whether early exposure to school will affect IQ.

Question

An educator wants to determine whether early exposure to school will affect IQ. He enlists the aid of the parents of 12 pairs of preschool-age identical twins who agree to let their twins participate in this experiment. One member of each twin pair is enrolled in preschool for 2 years while the other member of each pair remains at home. At the end of the 2 years, the IQs of all the children are measured. The results follow.

Does early exposure to school affect IQ? Use = 0.052 tail.

IQ Pair Twins at
preschool Twins at
home 1 109 116 2 122 119 3 110 106 4 119 115 5 114 118 6 112 103 7 128 125 8 114 116 9 108 107 10 117 123 11 117 116 12 106 104

Explanation / Answer

The test hypothesis:

Ho: early exposure to school does not affect IQ (i.e. null hypothesis)

Ha: early exposure to school affect IQ (i.e. alternative hypothesis)

Using minitab

Paired T-Test and CI: Twins at preschool, Twins at home

Paired T for Twins at preschool - Twins at home

N Mean StDev SE Mean
Twins at preschool 12 114.67 6.34 1.83
Twins at home 12 114.00 7.32 2.11
Difference 12 0.67 4.64 1.34

95% CI for mean difference: (-2.28, 3.61)
T-Test of mean difference = 0 (vs 0): T-Value = 0.50 P-Value = 0.628

Since the p-value is larger than 0.052, we do not reject Ho.

So we can not conclude that early exposure to school affect IQ

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