a) Determine 95% confidence limits for the mean of Area 1 and Area 2?b) Determine 99% confidence limits for the mean of Area 1 and Area 2?c) Determine 95% and 99% confidence limits for the difference in means between Area 2 and Area1? In the following study the city of Saskatoon was interested in knowing the number ofhours per month that families in two areas of the city made use of a recreational facility. Itwas also interested to know if there was a difference between the two areas. A sample ofsize n = 45 families were selected from Area 1 resulting in a mean (hours used per familyper month) of 15.6 and a standard deviation of 4.5.A second sample of size m = 50 families were selected from Area 2 resulting in a mean(hours used per family per month) of 20.7 and a standard deviation of 3.7.

given: family-1 sample size(n)=45 mean(x¯)=15.6 sd(α)=4.5 family-2 sample size(n)=50 mean(x¯)=20.7…

Answered: urs per month that families in two…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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a) Determine 95% confidence limits for the mean of Area 1 and Area 2?

b) Determine 99% confidence limits for the mean of Area 1 and Area 2?

c) Determine 95% and 99% confidence limits for the difference in means between Area 2 and Area1?

In the following study the city of Saskatoon was interested in knowing the number of
hours per month that families in two areas of the city made use of a recreational facility. It
was also interested to know if there was a difference between the two areas. A sample of
size n = 45 families were selected from Area 1 resulting in a mean (hours used per family
per month) of 15.6 and a standard deviation of 4.5.
A second sample of size m = 50 families were selected from Area 2 resulting in a mean
(hours used per family per month) of 20.7 and a standard deviation of 3.7.

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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