It has been suggested that listening to classical music improves children\'s abi

Question

It has been suggested that listening to classical music improves children's ability to reason about spatial relations, and that learning to play a musical instrument at a young age may boost IQ scores. Seven randomly chosen 6-year olds were given free music lessons for 1 year. Their IQ scores were assessed by standardized tests given prior to the music lessons and after 1 year of lessons. You plan to test the hypothesis that students' IQ scores were significantly higher after the music lessons. Report the value of the t test statistic to two decimal places

Data are given below:

Before     After

107      114

120      126

110      112

95        103

136      133

99        105

118      119

Explanation / Answer

from above test stat t=2.57

before after difference(d) 107 114 7 120 126 6 110 112 2 95 103 8 136 133 -3 99 105 6 118 119 1 mean 3.857 std deviaition 3.9761 sample size 7.0000 std error= std dev/(n)^(1/2) 1.5028 t stat= (d)/std error 2.5666 p value = 0.0213

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