In a certain color test, 100 words that are color names are shown in colors different from the word. For example, the word red might be displayed in blue. The task is to correctly identify the display color of each word; in the example just given the correct response would be blue. Organizers recorded the time needed to complete this test for n = 16 individuals after they had consumed alcohol and for n = 16 other individuals after they had consumed a placebo drink flavored to taste as if it contained alcohol. Each group included eight men and eight women. In the alcohol group, the mean completion time was 135.25 seconds and the standard deviation was 22.64 seconds. In the placebo group, the mean completion time was 112.92 seconds and the standard deviation was 12.04 seconds. (a) Calculate the unpooled standard error for the difference in the two sample means. (Round your answer to four decimal places.) (b) Calculate a 95% confidence interval for the difference in population means. For the unpooled procedure, the approximate degrees of freedom are df = 22. (Round your answers to two decimal places.) to _ (c) On the basis of the confidence interval computed in part (b), can we conclude that the population means for the two groups are different? yes or no

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Description: In a certain color test, 100 words that are color names are shown in colors different from the word. For example, the word red might be displayed in blue. The task is to correctly identify the display color of each word; in the example just given the

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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In a certain color test, 100 words that are color names are shown in colors different from the word. For example, the word red might be displayed in blue. The task is to correctly identify the display color of each word; in the example just given the correct response would be blue. Organizers recorded the time needed to complete this test for n = 16 individuals after they had consumed alcohol and for n = 16 other individuals after they had consumed a placebo drink flavored to taste as if it contained alcohol. Each group included eight men and eight women. In the alcohol group, the mean completion time was 135.25 seconds and the standard deviation was 22.64 seconds. In the placebo group, the mean completion time was 112.92 seconds and the standard deviation was 12.04 seconds.

(a) Calculate the unpooled standard error for the difference in the two sample means. (Round your answer to four decimal places.)

(b) Calculate a 95% confidence interval for the difference in population means. For the unpooled procedure, the approximate degrees of freedom are df = 22. (Round your answers to two decimal places.)
__to ___

(c) On the basis of the confidence interval computed in part (b), can we conclude that the population means for the two groups are different?

yes or no

(d) Can we verify the necessary conditions for computing the confidence interval in part (b)?
determine whether the necessary conditions are present.

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