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If we increase our sample size the width of the confidence interval will decreas

ID: 3183522 • Letter: I

Question

If we increase our sample size the width of the confidence interval will decrease stay the same increase 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: (10.1 months. 13.4 months). Which statement correctly interprets this interval? Based on this sample, we can say, with 90% confidence, that the mean age at which children say their first word is between 10.1 and 13.4 months. 90% of the children in this sample said their first word when they were between 10.1 and 13.4 months old. If we took many random samples of children, about 90% of them would produce this confidence interval. We are 90% sure that a child will say his first word when he is between 10.1 and 13.4 months old.

Explanation / Answer

(6) Ans: decrease

(7) Ans: Option 1

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