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: 10.2

Question

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: 10.2 < μ(age) < 13.5.

A) 90% of the children in this sample said their first word when they were between 10.2 and 13.5 months old.
B) We are 90% sure that the average age at which children in this sample said their first word was between 10.2 and 13.5 months.
C) Based on this sample,we can say,with 90% confidence,that the mean age at which children say their first word is between 10.2 and 13.5 months.
D) We are 90% sure that a child will say his first word when he is between 10.2 and 13.5 months old.
E) If we took many random samples of children,about 90% of them would produce this confidence interval.

Denisse Hernandez · Accepted Answer

Final Answer : C, Explanation :  The confidence interval suggests that based on the sample, there is a 90% chance that the true mean age at which children say their first word falls between 10.2 and 13.5 months. It is important to note that this inference is only for this particular sample and cannot be generalized to other populations.

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