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Data collected by social service workers produced the following 90% confidence i

ID: 3383232 • Letter: D

Question

Data collected by social service workers produced the following 90% confidence interval for the average age (in months) at which children take their first step: (10.1 months, 13.4 months). Which statement correctly interprets this interval?

A. Based on this sample, we can say, with 90% confidence, that the mean age at which children take their first step is between 10.1 and 13.4 months.

B. 90% of the children in this sample took their first step when they were between 10.1 and 13.4 months old.

C. If we took many random samples of children, about 90% of them would produce this confidence interval.

D. We are 90% sure that a child will take their first step when he is between 10.1 and 13.4 months old.

A. Based on this sample, we can say, with 90% confidence, that the mean age at which children take their first step is between 10.1 and 13.4 months.

B. 90% of the children in this sample took their first step when they were between 10.1 and 13.4 months old.

C. If we took many random samples of children, about 90% of them would produce this confidence interval.

D. We are 90% sure that a child will take their first step when he is between 10.1 and 13.4 months old.

Explanation / Answer

(A) is correct interpretation