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.

From the given information, The 90% confidence interval for the mean age at which children say…

Answered: Data collected by child development…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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