Researchers studying the acquisition of pronunciati on often compare measurements made on therecorded 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 thefollowing vowel (such as the "a" in "pat"). For speakers of English, this short time lag can be heard asa period of breathiness between the consonant and the vowel. Here are the results for some randomlyselected 4-year-old chil dren and adults asked to pronounce the word "pat." VOT is measured inmilliseconds.Children 1060.6739.89Adults88.1724.74(a) What additional information would you need to confirm that the conditions for this test havebeen met?(b) Construct and interpret a 95% confidence interval for the true difference in the mean VOT forall 4-year-old children and adults. Assume the condition discussed in part (a) has been met.

Given that researchers studying the acquisition of pronunciation often compare measurements made on…

Answered: Researchers studying the acquisition of…

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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Major League Baseball now records information about every pitch thrown in every game of every season. Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider, etc.) as well as the speed of the ball as it left the pitcher’s hand. A histogram of speeds for all 30,740 four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from which we can see that the speeds of these fastballs follow a Normal model with mean μ = 92.12 mph and a standard deviation of σ = 2.43 mph. Compute the z-score of pitch with speed 89.4 mph. (Round your answer to two decimal places.)Approximately what fraction of these four-seam fastballs would you expect to have speeds between 88.2 mph and 95 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.)Approximately what fraction of these four-seam fastballs would you expect…
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