toy manufacturer wants to see how long, on average, a new toy captures children's attention. He tests13children selected at random and finds that their mean attention span is31minutes with a standard deviation of8minutes. If we assume that attention spans are normally distributed, find a99%confidence interval for the mean attention span of children playing with this new toy. Give the lower limit and upper limit of the99%confidence interval.

The sample size is .The sample mean is .The sample standard deviation is .The confidence level is .

Answered: toy manufacturer wants to see how long,…

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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toy manufacturer wants to see how long, on average, a new toy captures children's attention. He tests

children selected at random and finds that their mean attention span is

minutes with a standard deviation of

minutes. If we assume that attention spans are normally distributed, find a

99%

confidence interval for the mean attention span of children playing with this new toy. Give the lower limit and upper limit of the

99%

confidence interval.

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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