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recorded speech of adults and children. One variable of interest is called "voice onse OT), the length of time between the release of a consonant sound (such as "p") and th ginning of an immediately following vowel (such as the "a" in "pat"). For speakers of glish, this short time lag can be heard as a period of breathiness between the consona vowel. e are the results for some randomly-selected 4-year-old children and adults asked to nounce the word "pat." VOT is measured in milliseconds and can be either positive gative. Children Adults x 60.67 20 88.17 n 10 S 39.89 24.74 u are interested in whether there is a difference in the VOT of adults and children, so to test H. u-u-= 0 against Hu-U *0 where u. and u are the popula

recorded speech of adults and children. One variable of interest is called "voice onse OT), the length of time between the release of a consonant sound (such as "p") and th ginning of an immediately following vowel (such as the "a" in "pat"). For speakers of glish, this short time lag can be heard as a period of breathiness between the consona vowel. e are the results for some randomly-selected 4-year-old children and adults asked to nounce the word "pat." VOT is measured in milliseconds and can be either positive gative. Children Adults x 60.67 20 88.17 n 10 S 39.89 24.74 u are interested in whether there is a difference in the VOT of adults and children, so to test H. u-u-= 0 against Hu-U *0 where u. and u are the popula

MATLAB: An Introduction with Applications
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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10. Researchers studying the acquisition of pronunciation often compare measurements made on the recorded speech of adults and children. One variable of interest is called "voice onset time" (VOT), the length of time between the release of a consonant sound (such as "p") and the beginning of an immediately following vowel (such as the "a" in "pat"). For speakers of English, this short time lag can be heard as a period of breathiness between the consonant and the vowel. Here are the results for some randomly-selected 4-year-old children and adults asked to pronounce the word "pat." VOT is measured in milliseconds and can be either positive or negative. Children Adults n x 10 60.67 39.89 20 88.17 24.74 You are interested in whether there is a difference in the VOT of adults and children, so you plan to test Ho: M₁-M 0 against H₁M-μ0, where and are the population mean VOT for adults and children, respectively. (a) What additional information would you need to confirm that the conditions for this test have been met? (b) Assuming the conditions have been met, calculate the test statistic and P-value for this test. (c) Interpret the P-value in the context of this study, and draw the appropriate conclusion at the a = 0.05 level. (d) Given your conclusion in part (c), which type of error, Type I or Type II, is it possible to make? Describe that error in the context of this study.
Transcribed Image Text:10. Researchers studying the acquisition of pronunciation often compare measurements made on the recorded speech of adults and children. One variable of interest is called "voice onset time" (VOT), the length of time between the release of a consonant sound (such as "p") and the beginning of an immediately following vowel (such as the "a" in "pat"). For speakers of English, this short time lag can be heard as a period of breathiness between the consonant and the vowel. Here are the results for some randomly-selected 4-year-old children and adults asked to pronounce the word "pat." VOT is measured in milliseconds and can be either positive or negative. Children Adults n x 10 60.67 39.89 20 88.17 24.74 You are interested in whether there is a difference in the VOT of adults and children, so you plan to test Ho: M₁-M 0 against H₁M-μ0, where and are the population mean VOT for adults and children, respectively. (a) What additional information would you need to confirm that the conditions for this test have been met? (b) Assuming the conditions have been met, calculate the test statistic and P-value for this test. (c) Interpret the P-value in the context of this study, and draw the appropriate conclusion at the a = 0.05 level. (d) Given your conclusion in part (c), which type of error, Type I or Type II, is it possible to make? Describe that error in the context of this study.
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