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It is widely accepted that the overall population has a mean I.Q. score of 100 with...

It is widely accepted that the overall population has a mean I.Q. score of 100 with a standard deviation of 15 that is normally distributed. A researcher wants to find out if incoming college freshman that have identified as being math majors have a higher I.Q. than the overall population. The scores below are a random sample of the I.Q. scores for incoming freshman that have identified as math majors. Use this sample to test the claim that incoming freshman who identify as math majors have a mean I.Q. score greater than 100 using α = 0.05.

105 111 98 108 101 95 115 121 92 88 117 111 108 103 92

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