Kiyo is confused. He has constructed a 90% confidence interval for the average age of students at his school and the 99% confidence interval he constructed is (18.4, 25.6). However, he was checking his work, and when he looked at his data, only 37% of the people in his survey have ages between 18.4 and 25.6.

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Kiyo is confused. He has constructed a 90% confidence interval for the average age of students at his school and the 99% confidence interval he constructed is (18.4, 25.6). However, he was checking his work, and when he looked at his data, only 37% of the people in his survey have ages between 18.4 and 25.6.

Did Kiyo make a mistake? In other words, should the proportion of ages contained between 18.4 and 25.6 be 90% or is this a misunderstanding on Kiyo's part? Explain.

What was Kiyo's sample mean? 

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