Heights for teenage boys and girls were calculated. The mean height for the sample of 12 boys was 174 cm and the variance were 62. For the sample of 12 girls, the mean was 166 cm and the variance were 65. Assuming equal variances and normal distributions in the population,What is the 95% confidence interval on the difference between population means?What is the 99% confidence interval on the difference between population means?Do you think it is very unlikely that the mean difference in the population is about 5?Why or why not?

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Description: Heights for teenage boys and girls were calculated. The mean height for the sample of 12 boys was 174 cm and the variance were 62. For the sample of 12 girls, the mean was 166 cm and the variance were 65. Assuming equal variances and normal distribut

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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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Heights for teenage boys and girls were calculated. The mean height for the sample of 12 boys was 174 cm and the variance were 62. For the sample of 12 girls, the mean was 166 cm and the variance were 65. Assuming equal variances and normal distributions in the population,

What is the 95% confidence interval on the difference between population means?
What is the 99% confidence interval on the difference between population means?
Do you think it is very unlikely that the mean difference in the population is about 5?

Why or why not?

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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