Question: The IQ test scores for first - graders for the entire U.S. population has approximately a Normal distribution with mean 100 and standard deviation 15.

The IQ test scores for first - graders for the entire U.S. population has approximately a Normal distribution with mean 100 and standard deviation 15. The following is a random sample of 10 scores from one school:

107

113

108

127

146

103

108

118

111

119

We are interested in seeing whether the population of first graders at this school is different from the national population. Assume that the normal distribution with standard deviation 15 is valid for the school, and test at the 0.05 level to see wither the school mean differs from the national mean. Summarize your conclusions in a sentence about these first graders.

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