Data Collected by Child Development Scientists Produced the Following $90 \%$

Data collected by child development scientists produced the following $90 \%$ confidence interval for the average age (in months) at which children say their first word: $10.6 < \mu ($ age $) < 13.7$ .

A) Based on this sample, we can say, with $90 \%$ confidence, that the mean age at which children say their first word is between $10.6$ and $13.7$ months.
B) $90 \%$ of the children in this sample said their first word when they were between $10.6$ and $13.7$ months old.
C) We are $90 \%$ sure that a child will say his first word when he is between $10.6$ and $13.7$ months old.
D) We are $90 \%$ sure that the average age at which children in this sample said their first word was between $10.6$ and $13.7$ months.
E) If we took many random samples of children, about $90 \%$ of them would produce this confidence interval.

Correct Answer:

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