The points scored by teams in the first round of the Statistics Games have a mean of 135 points and a standard deviation of 27 points. A random sample of 36 teams is taken. Can we use a normal model for the sampling distribution? Why or why not?   A) No, because the standard deviation is too large. B) No, because we're not calculating a mean. C) No, because the sample is not big enough. D) Yes, because we have a random sample, and the sample size is more than 30. E) Yes, because sample size is more than 20.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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The points scored by teams in the first round of the Statistics Games have a mean of 135 points and a standard deviation of 27 points. A random sample of 36 teams is taken. Can we use a normal model for the sampling distribution? Why or why not?
 
A) No, because the standard deviation is too large.
B) No, because we're not calculating a mean.
C) No, because the sample is not big enough.
D) Yes, because we have a random sample, and the sample size is more than 30.
E) Yes, because sample size is more than 20.
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