Given x, and x, distributions that are normal or approximately normal with unknown o, and o, the value of t corresponding to x, - x, has a distribution that is approximated by a Student's t distribution. We use the convention that the degrees of freedom is approximately the smaller of n, - 1 and n, - 1. However, a more accurate estimate for the appropriate degrees of freedom is given by Satterthwaite's formula: 2.2 d.f. * "2 where s,, S7, n,, and n, are the respective sample standard deviations and sample sizes of independent random samples from the x, and x, distributions. This is the approximation used by most statistical software. When both n, and n, are 5 or larger, it is quite accurate. The degrees of freedom computed from this formula are either truncated or not rounded. (a) We tested whether the population average crime rate u, in the Rocky Mountain region is higher than that in New England, 4. The data were n, = 12, x, * 3.51, 5, * 0.72, n, = 13, x2 * 3.87, and s, * 0.89. Use Satterthwaite's formula to compute the degrees of freedom for the Student's t distribution. (Round your answer to two decimal places.) d.f. =

Given x, and x, distributions that are normal or approximately normal with unknown o, and o, the value of t corresponding to x, - x, has a distribution that is approximated by a Student's t distribution. We use the convention that the degrees of freedom is approximately the smaller of n, - 1 and n, - 1. However, a more accurate estimate for the appropriate degrees of freedom is given by Satterthwaite's formula: 2.2 d.f. * "2 where s,, S7, n,, and n, are the respective sample standard deviations and sample sizes of independent random samples from the x, and x, distributions. This is the approximation used by most statistical software. When both n, and n, are 5 or larger, it is quite accurate. The degrees of freedom computed from this formula are either truncated or not rounded. (a) We tested whether the population average crime rate u, in the Rocky Mountain region is higher than that in New England, 4. The data were n, = 12, x, * 3.51, 5, * 0.72, n, = 13, x2 * 3.87, and s, * 0.89. Use Satterthwaite's formula to compute the degrees of freedom for the Student's t distribution. (Round your answer to two decimal places.) d.f. =

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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Answer.
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