Suppose we wish to test the null hypothesis that the means of two populations are equal. Wedecide to use the Welch procedure to carry out the test. We draw independent samples of {n}observations from each population, and find X1={"version":"1.1","math":"\( \bar X_1= \)"}17.9,X2=("version":"1.1","math":"\( \bar X_2 = \)"}2.1, and SEW(X'1-X-2)={"version":"1.1","math":"\(SE W(\bar X_1 - \bar X_2) = \)"}1.3. What is the value of the appropriate t statistic?(Give your numeric response to at least 3 decimal places. Give only the number, and not anyadditional characters or symbols. (If the value is negative, include the minus sign.))Your Answer:

Given: x1¯=17.9x2¯=2.1 SE_W = (s12n1+s22n2)SE_W = 1.3

Answered: Suppose we wish to test the null…

Suppose we wish to test the null hypothesis that the means of two populations are equal. We decide to use the Welch procedure to carry out the test. We draw independent samples of {n}

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

Suppose we wish to test the null hypothesis that the means of two populations are equal. We
decide to use the Welch procedure to carry out the test. We draw independent samples of {n}
observations from each population, and find X1={"version":"1.1","math":"\( \bar X_1= \)"}17.9,
X2=("version":"1.1","math":"\( \bar X_2 = \)"}2.1, and SEW(X'1-X-2)={"version":"1.1","math":"\(
SE W(\bar X_1 - \bar X_2) = \)"}1.3. What is the value of the appropriate t statistic?
(Give your numeric response to at least 3 decimal places. Give only the number, and not any
additional characters or symbols. (If the value is negative, include the minus sign.))
Your Answer:

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