has a distribution that is approximated by a Student\'s t G en anddistributions
ID: 3293654 • Letter: H
Question
has a distribution that is approximated by a Student's t G en anddistributions that are normal or opproximately normal with unknowno, and 2 the value of r corresponding ten-i, has a diste tee that distribution. We use the convention that the degrees of freedom is approximately the smaller of n - 1 and n2 -1. However, a more sccurate estimate for the appropriate degrees of freedom is given by Satterthwaite's formula + where s1, S2, ni, and n are the respective sample standard deviations and sample sizes of independent random samples from the x and x distributions. This is the statistical software, when both ni and n2 ore s or larger, is qute accurate. runcated or notranded. used by most The degrees of freedom computed from this formule are ether t a) wo tested whether the population average crime rate in the Rocky Mountain reg higher than that in New England 8.87, and s2 0.79.Use Satterthwate's formulis to compute the degrees of freedom for the Student's t distnbution. ( d.f. 15 27 1 . The data weren. The data were a 10 x 10, x. " 3.51, si-1.03, n2-17, x2 . 33,--tas et-u.r (Round your answer to two decimal places.)Explanation / Answer
From statistical software output,
Image - 1) D.f. = 15.28
Image - 2) a) Sample test statistic = 1.885
b) Lower limit = -6.10
Upper limit = 50.90
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