Does delaying oral practice hinder learning a foreign language? Researchers randomly assigned 25 beginning students of Russian to begin speaking practice immediately and another 25 to delay speaking for four weeks. At the end of the semester both groups took a standard test of comprehension of spoken Russian. Suppose that in the population of all beginning students, the test scores for early speaking vary according to the N(32,6) distribution and scores for delayed speaking have the N(29,5) distribution 5. What is the sampling distribution of the mean score in the early-speaking group in many repetitions of the experiment? What is the sampling distribution of the mean score y in the delayed-speaking group? а. b. Are the sampling distributions approximately Normal or exactly Normal? Why? If the experiment were repeated many times, what would be the sampling distribution of the difference y - 3 between the mean scores in the groups? c. d. What is the probability that the experiment will find (misleading) that the mean score for delayed speaking is at least as large as that for early speaking?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Does delaying oral practice hinder learning a foreign language? Researchers randomly assigned 25
beginning students of Russian to begin speaking practice immediately and another 25 to delay
speaking for four weeks. At the end of the semester both groups took a standard test of
comprehension of spoken Russian. Suppose that in the population of all beginning students, the test
scores for early speaking vary according to the N(32,6) distribution and scores for delayed speaking
have the N(29,5) distribution
5.
What is the sampling distribution of the mean score in the early-speaking group in many
repetitions of the experiment? What is the sampling distribution of the mean score y in the
delayed-speaking group?
а.
b.
Are the sampling distributions approximately Normal or exactly Normal? Why?
If the experiment were repeated many times, what would be the sampling distribution of the
difference y - 3 between the mean scores in the groups?
c.
d.
What is the probability that the experiment will find (misleading) that the mean score for delayed
speaking is at least as large as that for early speaking?
Transcribed Image Text:Does delaying oral practice hinder learning a foreign language? Researchers randomly assigned 25 beginning students of Russian to begin speaking practice immediately and another 25 to delay speaking for four weeks. At the end of the semester both groups took a standard test of comprehension of spoken Russian. Suppose that in the population of all beginning students, the test scores for early speaking vary according to the N(32,6) distribution and scores for delayed speaking have the N(29,5) distribution 5. What is the sampling distribution of the mean score in the early-speaking group in many repetitions of the experiment? What is the sampling distribution of the mean score y in the delayed-speaking group? а. b. Are the sampling distributions approximately Normal or exactly Normal? Why? If the experiment were repeated many times, what would be the sampling distribution of the difference y - 3 between the mean scores in the groups? c. d. What is the probability that the experiment will find (misleading) that the mean score for delayed speaking is at least as large as that for early speaking?
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