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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

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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