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 meanu = 92.12 mph and a standard deviation of o = 2.43 mph. 85 90 100 speed (mph) Compute the z-score of pitch with speed 95.8 mph. (Round your answer to two decimal places.) 1.5 Approximately what fraction of these four-seam fastballs would you expect to have speeds between 90.2 mph and 90.8 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.) Approximately what fraction of these four-seam…
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…
What are the measures of central tendency for this data set
Suppose that a recent article by a historian stated that the mean time spent in jail by a first–timeconvicted burglar in the 20th century was 2.5 years. A study was then done to see if the mean time has increasedin the new century. A random sample of 26 first-time convicted burglars in a recent year was picked. The meanlength of time in jail from the survey was 3 years. Suppose that it is somehow known that the population standarddeviation is 1.8 years and that the population is normally distributed.The hypotheses can then be framed as:H0 : μ = 2.5 vs. Ha : μ > 2.5(a) Which of the following figures (next page) best describes the p-value for this hypothesis testingproblem. Explain your reasoning. (numbers above red shaded area represent the corresponding probabilities). (b) Write the decision and conclusion for this hypothesis testing problem if the significance level, α,is 0.1.
Age-related Macular Degeneration (AMD) is a common eye condition leading to vision loss. It causes damage to the macula, a small spot near the center of the retina (the part of the eye needed for sharp, central vision). Researchers are interested in the experiences of people who have been diagnosed with early-onset AMD. In particular the researchers are interested in whether the mean age at diagnosis of all people with early-onset AMD is less than 55 years. A random sample of 20 people with early-onset AMD gave the following data on age at diagnosis, in years. Patient 12 3 4 5 6 7 8 9 10 Age at diagnosis 50 58 52 58 49 58 51 61 54 59 Patient 11 12 13 14 15 16 17 18 19 20 Age at diagnosis 53 44 46 47 42 56 57 49 41 43 (d) State the conclusion of the test at the 5% level of significance. (e) Discuss why or why not an approximate normal test is appropriate here. (f) Perform an approximate normal test on the data at the 5% level. (g) Stating appropriate hypotheses perform the Student-t…
researcher wonders if the amount of sleep new parents get is associated with how grumpy they are. The researcher recruits a sample of 100 new parents and asks them (1) how many hours of sleep they are getting each night, (2) how many hours of sleep their baby is getting each night, and (3) how grumpy they 4 are on a scale from 0 (not at all grumpy) to 100 (very grumpy). They saved the results to a file called hwo_parenthood. cs. Load the data into jamovi and answer the following questions. 3. What is the value of the test statistic for each association? 4. What is the degrees of freedom for each association? 5. What is the precise p-value as reported by jamovi for each association? Make sure you report the value to at least three decimal places. 6. Which of the associations are significant?? 7. What is the direction of each association ? 8. What is the effect size for each association? Are they weak, moderate, or strong? 9. What does each of the associations mean in plain language?

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